Sequence Machine

Machine generated sequences and conjectures.

[Sequence Machine @sequencedb]

If a conjecture has value, feel free to submit it to the OEIS!

Before submitting:
- Verify and try to prove the conjecture
- Possibly adjust offsets
- Read through the OEIS guidelines

https://t.co/IfOgQNJxeA

[Sequence Machine @sequencedb]

If you are into bit-twiddling, this one is pretty neat and probably provable:

A292531
a(n) = 0 if n is a power of 2. Otherwise, product of 2 numbers nearest n that have more 2's in their prime factorization than n.

Is a(n)=and(n²-1, n²) ?

[Sequence Machine @sequencedb]

So far, the majority of the ~2k posted conjectures are for OEIS entries without a formula field. There are approximately 22k more of this type queued up, but it appears that the bot has been suspended by twitter's new policy... I will resort to some manual postings until fixed.

[Sequence Machine @sequencedb]

Index of prime(n) in A090252. https://t.co/lNvaemTZZe

Is a(n)=comp[A354164(abs(1-n)+1)-1]+1?
https://t.co/7lu9xcENn8

[Sequence Machine @sequencedb]

Coordination sequence Gal.6.625.4 where G.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings. https://t.co/eRC50WSv7z

Is a(n)=abs(A008592(n)-A314752(n))?
https://t.co/RDxFdsRUfJ

[Sequence Machine @sequencedb]

Integers in (2+A191127)/4; contains A191127 as a proper subsequence. https://t.co/7E8HfBz3Fx

Is a(n)=round(A191207(n+1)/2)?
https://t.co/zvZ6QkrWqN

[Sequence Machine @sequencedb]

Number of (w,x,y,z) with all terms in {1,...,n} and w^2>=x^2+y^2+z^2. https://t.co/V9HHLJE0DM

Is a(n)=A212094(n)+A212091(n)?
https://t.co/E4sehd7J4O

[Sequence Machine @sequencedb]

Numbers divisible by their last digit. https://t.co/b0wuv06cVP

Is a(n)=eq[lcm(n, A010879(n)), A028310(n)]?
https://t.co/DGns3EBqO8

[Sequence Machine @sequencedb]

Convolution of A014306 with itself. https://t.co/Kyty4xqotK

Is a(n)=A025128(round(sqrt(n²+1)))+A024695(n+1)?
https://t.co/r1zdMnVETA

[Sequence Machine @sequencedb]

a(n)=T(n,1), array T as in A049735. https://t.co/ngtEZHVRp8

Is a(n)=A333167(n)+A000328(n)?
https://t.co/cEUqYqNKTO

[Sequence Machine @sequencedb]

Numbers n such that 11n-1 and 11n+1 are twin primes. https://t.co/cEalduHkMO

Is a(n)=∩[A102656(n+1), A107960(n+1)]?
https://t.co/rui9xdtzGc

[Sequence Machine @sequencedb]

Coordination sequence Gal.5.120.5 where G.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings. https://t.co/8AxEwGynbC

Is a(n)=A316002(n)+A316019(n)-A316049(n)?
https://t.co/ed8eoTzfkb

[Sequence Machine @sequencedb]

a(n) = round(log_3(n)). https://t.co/ZLmPxfrYy7

Is a(n)=∑[char[A022838(3^n)]]?
https://t.co/ecMwhkNEAV

[Sequence Machine @sequencedb]

Numbers such that the greatest prime divisor is less than the product of the other distinct prime divisors. https://t.co/mh077xhhrC

Is a(n)=lt[rad(n+1), A051119(A007947(n+1))²]+1?
https://t.co/Z6NUUvxODR

[Sequence Machine @sequencedb]

3rd column of array in A038150. https://t.co/OYDWc0nnT9

Is a(n)=A188471(n+1)+3?
https://t.co/wEbeDTu9oH

[Sequence Machine @sequencedb]

Partial sums of decimal digits of Pi (ignoring the initial 3). https://t.co/w6dg3i1OLn

Is a(n)=Δ[A227844(n+3)]-4?
https://t.co/UAnyU9Isj5

[Sequence Machine @sequencedb]

Fixed point of the morphism 1 -> 131, 2 -> 312, 3 -> 2. https://t.co/GEOcLv8Ux8

Is a(n)=xor(1, Δ[A064437(A008619(n))])?
https://t.co/GijgnBYjC8

[Sequence Machine @sequencedb]

a(n) = Sum_{p | A055204(n)} 2^(pi(p) - 1). https://t.co/YNt1eTKF1C

Is a(n)=xor(a(n-1), A248663(n+1))?
https://t.co/yDw603NptC

[Sequence Machine @sequencedb]

Number of active (ON,black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 126", based on the 5-celled von Neumann neighborhood. https://t.co/m64JdVR4EQ

Is a(n)=A270216(n-1)+a(n-1)?
https://t.co/m2kBBIAM9i

[Sequence Machine @sequencedb]

Numbers k such that floor[(k-1/2)*(2+2^(1/2))+1/2] is prime. https://t.co/ZMbfFAjGFu

Is a(n)=A194920(p?[A081477(2*n+1)])?
https://t.co/AoG0GfAUdC

[Sequence Machine @sequencedb]

Expansion of 1/((1-x)*(1-x^3)*(1-x^10)*(1-x^12)). https://t.co/NK5yFAMVoj

Is a(n)=∑[A025857(n)]?
https://t.co/iTFFNyX7eP