A037482 Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 1,2.

1, 7, 36, 182, 911, 4557, 22786, 113932, 569661, 2848307, 14241536, 71207682, 356038411, 1780192057, 8900960286, 44504801432, 222524007161, 1112620035807, 5563100179036, 27815500895182, 139077504475911, 695387522379557

Offset

1,2

Links

Table of n, a(n) for n=1..22.

Index entries for linear recurrences with constant coefficients, signature (5,1,-5).

Index entries for 5-automatic sequences.

Formula

a(n) = 5a(n-1) + a(n-2) - 5a(n-3).

a(n) = (-1)^n/12 -3/8 +7*5^n/24. G.f. x*(1+2*x) / ( (x-1)*(5*x-1)*(1+x) ). - R. J. Mathar, Nov 02 2011

A007091(a(n)) = A037487(n). - R. J. Mathar, Apr 27 2015

Prog

(PARI) a(n)=([0, 1, 0; 0, 0, 1; -5, 1, 5]^(n-1)*[1; 7; 36])[1, 1] \\ Charles R Greathouse IV, Feb 13 2017

Crossrefs

Sequence in context: A054493 A368575 A037538 * A147546 A333060 A331719

Adjacent sequences: A037479 A037480 A037481 * A037483 A037484 A037485

Keyword

nonn,base,easy

Author

Clark Kimberling

Status

approved