A028074 Expansion of 1/((1-3x)(1-6x)(1-7x)(1-8x)).

1, 24, 367, 4566, 50449, 516348, 5012659, 46832082, 425124997, 3774414072, 32930084551, 283309497198, 2409910756345, 20309449295796, 169843460626843, 1411263104458314, 11663354948539693, 95953443568179120

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (24, -209, 774, -1008).

Formula

G.f.: 1/((1-3*x)*(1-6*x)*(1-7*x)*(1-8*x)).

a(n) = (6*8^(n+3)-15*7^(n+3)+10*6^(n+3)-3^(n+3))/60. - Yahia Kahloune, Jun 10 2013

a(n) = 24*a(n-1) - 209*a(n-2) + 774*a(n-3) - 1008*a(n-4). - Wesley Ivan Hurt, Jun 12 2026

Prog

(Magma) [(6*8^(n+3)-15*7^(n+3)+10*6^(n+3)-3^(n+3))/60 : n in [0..30]]; // Wesley Ivan Hurt, Jun 12 2026

Crossrefs

Sequence in context: A380472 A028115 A125481 * A028111 A168304 A053062

Adjacent sequences: A028071 A028072 A028073 * A028075 A028076 A028077

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved