Amazing Graphs

Visually appealing graphs of integer sequences, as curated by the OEIS.

Banner image by @PeteMcPartlan.

[Amazing Graphs @amazing_graphs]

@SashaVerona here. I turned this bot off a couple weeks ago while I worked on setting up a home server.

I live very frugally and am not paying a hundred dollars a month or whatever to maintain this.

If you liked my bot and are sad, blame Muskrat. Use federated services. Cheers.

[Amazing Graphs @amazing_graphs]

divisors of k.

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https://t.co/A4NWTct98k

a(n) = sum of the d(k)'s, where 1<=k<=n and d(k) is equal to any divisor of n, where d(k) is the number of positive…

[Amazing Graphs @amazing_graphs]

https://t.co/Bfpf7EKvau

Triangle of multinomial coefficients, read by rows (version 2).

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https://t.co/QgPfBUyrsf

Triangle T(n,k) of orders of degree-n irreducible polynomials over GF(17) listed in ascending order.

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https://t.co/Hp2IxPFFOi

Partial sums of A255331.

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https://t.co/0lan6PVZEv

Table of x OR y, where (x,y) = (0,0), (0,1), (1,0), (0,2), (1,1), (2,0), ...

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g(n), where g(n) = A000793(n) is Landau's function.

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https://t.co/9WCz085g5c

Irregular triangle read by rows: T(n,k) = number of elements of order k in symmetric group S_n, for n >= 1, 1 <= k <=…

[Amazing Graphs @amazing_graphs]

https://t.co/DYGHC0fGID

Base -2 representation of -n reinterpreted as binary.

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https://t.co/SHyHT6zc8y

Number of changes of parity in the Collatz trajectory of n.

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https://t.co/K4zdSe5Qob

Number of distinct terms encountered when A353313 is iterated, or -1 if the iteration never reaches a finite cycle.

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https://t.co/J2DnIxksUO

Numbers in which 6 outnumbers all other digits together.

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n>=1, 0<=k<=A000523(n), read by rows.

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https://t.co/nQR48HjQFB

Number T(n,k) of parts p in all partitions of n with largest integer power k (such that A052409(p)=k); triangle T(n,k),…

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https://t.co/p53MyQ9qrY

G.f. satisfies: A(x) = 1/(1 - x) * Product_{k>0} A(x^(2*k)) / Product_{k>1} A(x^(2*k-1)).

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https://t.co/X7yL6IleXj

Tree of Eratosthenes, mirrored: a(0) = 1, a(1) = 2; after which, a(2n) = 2*a(n), a(2n+1) = A250469(a(n)).

[Amazing Graphs @amazing_graphs]

https://t.co/rWLKWafvvu

Least k such that phi(k) = phi(n).

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https://t.co/g5kylKdqDn

a(n) = -Sum_{d divides (n-2), 1 <= d < n} a(d).

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https://t.co/tO6awQGJtp

Triangle T(n,k) giving denominator of coefficient of x^k in a polynomial p(n) defined as a determinant.