A075495 Convolution of A075298 with A056594.

1, 1, -6, 4, 7, -15, 8, 12, -31, 29, 10, -72, 95, -11, -160, 264, -111, -311, 682, -484, -505, 1673, -1656, -524, 3857, -4987, 602, 8240, -13825, 6189, 15872, -35888, 26209, 25553, -87654, 88308, 24903, -200863, 264264, -38500, -426623, 729389, -341270, -814744, 1885407, -1411931, -1288224

Offset

0,3

Links

Table of n, a(n) for n=0..46.

Index entries for linear recurrences with constant coefficients, signature (-1, -2, 0, -1, 1).

Formula

a(n) = -a(n-1) - 2a(n-2) - a(n-4) + a(n-5); a(0)=1, a(1)=1, a(2)=-6, a(3)=4, a(4)=7.

G.f.: (1 + 2x - 3x^2)/(1 + x + 2x^2 + x^4 - x^5).

Mathematica

CoefficientList[Series[(1 + 2x - 3x^2)/(1 + x + 2x^2 + x^4 - x^5), {x, 0, 50}], x]

Crossrefs

Cf. A075298, A075419, A056594.

Sequence in context: A092160 A303134 A118289 * A070652 A195487 A073746

Adjacent sequences: A075492 A075493 A075494 * A075496 A075497 A075498

Keyword

easy,sign

Author

Mario Catalani (mario.catalani(AT)unito.it), Sep 19 2002

Status

approved