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A047540 Numbers that are congruent to {0, 2, 4, 7} mod 8. 1
0, 2, 4, 7, 8, 10, 12, 15, 16, 18, 20, 23, 24, 26, 28, 31, 32, 34, 36, 39, 40, 42, 44, 47, 48, 50, 52, 55, 56, 58, 60, 63, 64, 66, 68, 71, 72, 74, 76, 79, 80, 82, 84, 87, 88, 90, 92, 95, 96, 98, 100, 103, 104, 106, 108, 111, 112, 114, 116, 119, 120, 122, 124 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..63.

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

FORMULA

From Wesley Ivan Hurt, May 29 2016: (Start)

G.f.: x^2*(2+2*x+3*x^2+x^3) / ((x-1)^2*(1+x+x^2+x^3)).

a(n) = a(n-1) + a(n-4) - a(n-5) for n>5.

a(n) = (8*n-7+i^(2*n)+i^(-n)+i^n)/4 where i=sqrt(-1).

a(2k) = A047524(k), a(2k-1) = A008586(k-1) for n>0. (End)

MAPLE

A047540:=n->(8*n-7+I^(2*n)+I^(-n)+I^n)/4: seq(A047540(n), n=1..100); # Wesley Ivan Hurt, May 29 2016

MATHEMATICA

Table[(8n-7+I^(2n)+I^(-n)+I^n)/4, {n, 80}] (* Wesley Ivan Hurt, May 29 2016 *)

PROG

(MAGMA) [n : n in [0..150] | n mod 8 in [0, 2, 4, 7]]; // Wesley Ivan Hurt, May 29 2016

CROSSREFS

Cf. A008586, A047524.

Sequence in context: A248637 A131346 A341350 * A116478 A207829 A207827

Adjacent sequences:  A047537 A047538 A047539 * A047541 A047542 A047543

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified June 15 14:55 EDT 2021. Contains 345049 sequences. (Running on oeis4.)