A037702 Base-4 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,0,2.

1, 7, 28, 114, 457, 1831, 7324, 29298, 117193, 468775, 1875100, 7500402, 30001609, 120006439, 480025756, 1920103026, 7680412105, 30721648423, 122886593692, 491546374770, 1966185499081, 7864741996327, 31458967985308

Offset

1,2

Links

Table of n, a(n) for n=1..23.

Index entries for linear recurrences with constant coefficients, signature (4,0,0,1,-4).

Formula

G.f.: ( x*(1+3*x+2*x^3) ) / ( (x-1)*(4*x-1)*(1+x)*(x^2+1) ). - R. J. Mathar, Oct 13 2015

Mathematica

Module[{nn=30, d}, d=PadRight[{}, nn, {1, 3, 0, 2}]; Table[FromDigits[ Take[ d, n], 4], {n, nn}]] (* Harvey P. Dale, Feb 11 2015 *)

Crossrefs

Sequence in context: A200666 A207098 A037597 * A359018 A302523 A290913

Adjacent sequences: A037699 A037700 A037701 * A037703 A037704 A037705

Keyword

nonn,base

Author

Clark Kimberling

Status

approved