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A047377 Numbers that are congruent to {0, 1, 4, 5} mod 7. 0
0, 1, 4, 5, 7, 8, 11, 12, 14, 15, 18, 19, 21, 22, 25, 26, 28, 29, 32, 33, 35, 36, 39, 40, 42, 43, 46, 47, 49, 50, 53, 54, 56, 57, 60, 61, 63, 64, 67, 68, 70, 71, 74, 75, 77, 78, 81, 82, 84, 85, 88, 89, 91, 92, 95, 96 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..56.

Index to sequences with linear recurrences with constant coefficients, signature (1,0,0,1,-1).

FORMULA

G.f. x^2*(1+3*x+x^2+2*x^3) / ( (1+x)*(x^2+1)*(x-1)^2 ). - R. J. Mathar, Dec 04 2011

MAPLE

a(n+1)=Sum_k>=0 {A030308(n, k)*b(k)} with b(0)=1, b(1)=4 and b(k)=7*2^(k-2) for k>1. - From Philippe Deléham, Oct 25 2011.

CROSSREFS

Sequence in context: A159698 A191276 A228919 * A188265 A032714 A032702

Adjacent sequences:  A047374 A047375 A047376 * A047378 A047379 A047380

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified November 28 11:56 EST 2014. Contains 250348 sequences.