A270576 Expansion of (1+2*x)/(1-6*x).

1, 8, 48, 288, 1728, 10368, 62208, 373248, 2239488, 13436928, 80621568, 483729408, 2902376448, 17414258688, 104485552128, 626913312768, 3761479876608, 22568879259648, 135413275557888, 812479653347328, 4874877920083968, 29249267520503808, 175495605123022848

Offset

0,2

Comments

Partial sums are 1, 9, 57, 345, 2073, 12441, ...

Essentially the same as A084477. - R. J. Mathar, Mar 21 2016

Links

Colin Barker, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (6).

Formula

G.f.: (1+2*x) / (1-6*x).

a(n) = 6*a(n-1) for n>1.

a(n) = 8*6^(n-1) for n>0.

Prog

(PARI) Vec((1+2*x)/(1-6*x) + O(x^30))

Crossrefs

Cf. A000400 (powers of 6); A003949: (1+x)/(1-6*x); A084477.

Sequence in context: A079746 A079745 A079758 * A051823 A037507 A037690

Adjacent sequences: A270573 A270574 A270575 * A270577 A270578 A270579

Keyword

nonn,easy

Author

Colin Barker, Mar 19 2016

Status

approved