A276851 Reduced A276850.

1, -2, 1, 14, -14, 1, 2, -24, 36, -8, -8, 1, 1, 165, -330, 135, 90, -6, -36, -18, 1, 2, 2, -286, 715, -440, -220, 55, 165, 55, -10, -10, -20, -10, 1, 1, 1, 2002, -6006, 5005, 2002, -1144, -2288, -572, 33, 396, 198, 396, 132, -22, -22, -44, -44, -22, 1, 2, 2, 2

Offset

3,2

Comments

This is A276850 with the row polynomials P(n) divided by n+1 and with odd-indexed rows additionally multiplied by 2.

Links

Table of n, a(n) for n=3..60.

Mathematica

rows[nn_] := With[{s = InverseSeries[t (1 + Sum[u[k] t^k, {k, nn}] + O[t]^(nn+1))]}, Table[Mod[n, 2, 1] (Length[p]-1) Coefficient[s, t^(n+1) Product[u[w], {w, p}]] / (n+2), {n, nn}, {p, Most@Reverse@Sort[Sort /@ IntegerPartitions[n]]}]];
rows[8] // Flatten (* Andrey Zabolotskiy, Mar 08 2024 *)

Crossrefs

Sequence in context: A338207 A063613 A245733 * A080346 A216445 A124026

Adjacent sequences: A276848 A276849 A276850 * A276852 A276853 A276854

Keyword

sign,tabf

Author

Tom Copeland, Sep 21 2016

Extensions

Corrected and extended by Andrey Zabolotskiy, Mar 08 2024

Status

approved