A350310 Alternating row sums of A066448.

1, -1, -2, -2, -1, 0, 2, 4, 6, 7, 8, 8, 6, 4, 0, -6, -11, -18, -26, -32, -38, -44, -46, -46, -44, -37, -26, -12, 8, 32, 58, 90, 124, 158, 194, 228, 259, 286, 306, 316, 316, 304, 276, 232, 170, 88, -12, -132, -272, -431, -606, -794, -994, -1200, -1408, -1614, -1808, -1984, -2138, -2258, -2336

Offset: 0

Author

Seiichi Manyama, Jan 12 2022

Keywords

• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A039924, A066447, A066448, A237979, A350737, A350738.

Programs

PARI

my(N=66, x='x+O('x^N)); Vec(sum(k=0, sqrtint(N), (-1)^k*x^k^2*prod(j=1, k, (1+x^j)/(1-x^j))))

Formula

a(n) = Sum_{k=0..n} (-1)^k * A066448(n,k).

G.f.: Sum_{k>=0} (-1)^k * x^(k^2) * Product_{j=1..k} (1+x^j)/(1-x^j).