A081688 -id:A081688 - cp's OEIS frontend

A225687 a(n) = A030124(n) - n.

1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10

Offset: 1

N. J. A. Sloane, May 24 2013

nonn

Used by Benoit Jubin in his analysis of A005228 and A030124.

Are run lengths given by A081688? Equivalently, does n appear A081688(n) times? - Peter Kagey, Mar 20 2020

Peter Kagey, Table of n, a(n) for n = 1..10000

Cf. A030124, A005228, A081688.

A081689 A005228 - 1.

Original entry on oeis.org

0, 2, 6, 11, 17, 25, 34, 44, 55, 68, 82, 97, 113, 130, 149, 169, 190, 212, 235, 259, 284, 311, 339, 368, 398, 429, 461, 494, 528, 564, 601, 639, 678, 718, 759, 801, 844, 888, 934, 981, 1029, 1078, 1128, 1179, 1231, 1284, 1338, 1393, 1450, 1508, 1567, 1627, 1688

Offset: 0

N. J. A. Sloane, Apr 02 2003

nonn

From P-positions in a certain game.

A. S. Fraenkel, Home Page
A. S. Fraenkel, New games related to old and new sequences, INTEGERS, Electronic J. of Combinatorial Number Theory, Vol. 4, Paper G6, 2004.

Cf. A030124, A005228, A081688.

See A081688 for a recurrence.

cp's OEIS Frontend

A225687 a(n) = A030124(n) - n.

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