A129681 -id:A129681 - cp's OEIS frontend

A129680 Distance sequence of A129676: A129676(n)-n.

2, -1, 2, 0, 1, -4, 2, -1, 1, 2, 0, -4, 2, -1, 2, 0, 1, 2, 0, -6, 2, -1, 1, -2, 2, -1, 2, 0, 1, -4, 2, -1, 1, 2, 0, -4, 2, -1, 1, -2, 2, -1, 2, 0, 1, 2, 0, -6, 2, -1, 2, 0, 1, -4, 2, -1, 1, 2, 0, -4, 2, -1, 2, 0, 1, 2, 0, -6, 2, -1, 1, -2, 2, -1, 2, 0, 1, 2, 0, -6, 2, -1, 2, 0, 1, -4, 2, -1, 1, 2, 0, -4, 2, -1, 1, -2, 2, -1, 2

Offset: 1

Ferenc Adorjan (fadorjan(AT)freemail.hu or ferencadorjan(AT)gmail.com), May 01 2007

sign

The numbers in this sequence seem to be in range [-6,2], but they are never -3 nor -5 (tested up to 10^4). The relative density of the values {-6,-4,-2,-1,0,1,2} asymptotically is {1,2,1,4,4,4,8}.

Michael De Vlieger, Table of n, a(n) for n = 1..10000
Jean-François Fortin, Wen-Jie Ma, Witold Skiba, Seven-Point Conformal Blocks in the Extended Snowflake Channel and Beyond, arXiv:2006.13964 [hep-th], 2020.

Distance of A129676, Cf. A129678, A129679, A129681 and A000069.

A129677 Inverse permutation to A129676.

Original entry on oeis.org

2, 6, 1, 4, 3, 5, 8, 12, 7, 9, 11, 10, 14, 20, 13, 16, 15, 17, 19, 18, 22, 24, 21, 23, 26, 30, 25, 28, 27, 29, 32, 36, 31, 33, 35, 34, 38, 40, 37, 39, 42, 48, 41, 44, 43, 45, 47, 46, 50, 54, 49, 52, 51, 53, 56, 60, 55, 57, 59, 58, 62, 68, 61, 64, 63, 65, 67, 66, 70, 72, 69, 71

Offset: 1

Ferenc Adorjan (fadorjan(AT)freemail.hu or ferencadorjan(AT)gmail.com), May 01 2007

The inversion maintains the cyclic characteristics described in A129676.

Inverse of A129676, cf. A128754, A128755, A129681 and A000069.

{pinverse(v)= /* Permutation inverse of a positive sequence */
local(n,m,x);n=matsize(v)[2]; x=vector(n);
for(i=1,n,if(v[i]<=n,x[v[i]]=i)); return(x)}
a=pinverse(A129676)

A129678 Distance sequence of A129674: A129674(n)-n.

Original entry on oeis.org

2, 0, -2, 2, -1, 1, -2, 2, -1, 2, 0, 1, 2, 0, -6, 2, -1, 2, 0, 1, -4, 2, -1, 1, 2, 0, -4, 2, -1, 1, -2, 2, -1, 2, 0, 1, -4, 2, -1, 1, 2, 0, -4, 2, -1, 2, 0, 1, 2, 0, -6, 2, -1, 1, -2, 2, -1, 2, 0, 1, 2, 0, -6, 2, -1, 2, 0, 1, -4, 2, -1, 1, 2, 0, -4, 2, -1, 2, 0, 1, 2, 0, -6, 2, -1, 1, -2, 2, -1, 2, 0, 1, -4, 2, -1, 1, 2, 0, -4

Offset: 1

Ferenc Adorjan (fadorjan(AT)freemail.hu or ferencadorjan(AT)gmail.com), May 01 2007

sign

The numbers in this sequence are in the range of [ -6,2], but they are never -3 nor -5 (tested up to 10^4). The relative density of the values {-6,-4,-2,-1,0,1,2} asymptotically is {1,2,1,4,4,4,8}.

Distance of A129674, Cf. A129679, A129680, A129681 and A001969.

A129679 Distance sequence of A129675: A129675(n)-n.

Original entry on oeis.org

2, 0, -2, 1, 2, -2, -1, 1, 6, -2, 0, -2, -1, 0, -2, 1, 4, -2, 0, -2, -1, 1, 4, -2, -1, 0, -2, 1, 2, -2, -1, 1, 4, -2, 0, -2, -1, 1, 4, -2, -1, 0, -2, 1, 6, -2, 0, -2, -1, 0, -2, 1, 2, -2, -1, 1, 6, -2, 0, -2, -1, 0, -2, 1, 4, -2, 0, -2, -1, 1, 4, -2, -1, 0, -2, 1, 6, -2, 0, -2, -1, 0, -2, 1, 2, -2, -1, 1, 4, -2, 0, -2, -1, 1, 4, -2, -1, 0

Offset: 1

Ferenc Adorjan (fadorjan(AT)freemail.hu or ferencadorjan(AT)gmail.com), May 01 2007

sign

The numbers in this sequence seem to be in the range of [ -2,6], but they are never 3 nor 5 (tested up to 10^4). The relative density of the values {-2,-1,0,1,2,4,6} asymptotically is {8,4,4,4,1,2,1}.

Distance of A129675, Cf. A129678, A129680, A129681 and A001969.

cp's OEIS Frontend

A129680 Distance sequence of A129676: A129676(n)-n.

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A129677 Inverse permutation to A129676.

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PARI

A129678 Distance sequence of A129674: A129674(n)-n.

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A129679 Distance sequence of A129675: A129675(n)-n.

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