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

Author

Clark Kimberling

Keywords

• nonn
• base
• easy

Links

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

Programs

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

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