A348023 a(n) = [x^n] Product_{k=0..2*n-1} (x + (-1)^k * k).

1, -1, -5, 51, 1009, -17765, -636385, 15875083, 828730833, -26734633497, -1837389309405, 72689703927555, 6202163408816881, -290609121018808813, -29631450442239587305, 1604436906627413556075, 190333687041180914380065, -11692931012450127257939505, -1582217617564533519968758645

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..351

Formula

a(n) = A047991(2*n-1,n) for n>0.

Prog

(PARI) a(n) = polcoef(prod(k=0, 2*n-1, x+(-1)^k*k), n);

Crossrefs

Cf. A047991, A187646, A348024.

Sequence in context: A111340 A124559 A368838 * A172403 A022516 A003515

Adjacent sequences: A348020 A348021 A348022 * A348024 A348025 A348026

Keyword

sign

Author

Seiichi Manyama, Sep 25 2021

Status

approved