A160762 Convolved with the toothpick sequence A139250 = (2*n - 1): (1, 3, 5, 7, ...).

1, 0, 2, -2, 2, 2, 2, -6, 2, 2, 2, -2, 6, 6, -2, -14, 2, 2, 2, -2, 6, 6, -2, -10, 6, 6, 2, 2, 18, 10, -18, -30, 2, 2, 2, -2, 6, 6, -2, -10, 6, 6, 2, 2, 18, 10, -18, -26, 6, 6, 2, 2, 18, 10, -14, -14, 18, 14, 6, 22, 46, 2, -66, -62, 2, 2, 2, -2, 6, 6, -2, -10, 6, 6, 2

Offset

1,3

Comments

The sequence convolved with (1, 2, 2, 2, ...) = A139251, (1, 2, 4, 4, 4, 8, 12, ...); i.e., first difference row of the toothpick sequence A139250.

Links

Andrew Howroyd, Table of n, a(n) for n = 1..1000

David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata, Congressus Numerantium, Vol. 206 (2010), 157-191

N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS

Formula

G.f.: (1 - x)^2*B(x)/(1 + x) where B(x) is the g.f. of A139250. - Andrew Howroyd, Sep 20 2025

Crossrefs

Cf. A139250, A139251.

Sequence in context: A139516 A225953 A278247 * A112968 A263407 A377059

Adjacent sequences: A160759 A160760 A160761 * A160763 A160764 A160765

Keyword

sign

Author

Gary W. Adamson, May 25 2009

Extensions

a(29) onwards from Andrew Howroyd, Sep 20 2025

Status

approved