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A320614 Expansion of (1 + x^5) / ((1 - x^2) * (1 - x^3) * (1 - x^7)) in powers of x. 0
1, 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 6, 6, 8, 8, 9, 10, 11, 12, 13, 15, 15, 17, 18, 19, 21, 22, 24, 25, 27, 28, 30, 32, 33, 36, 37, 39, 41, 43, 45, 47, 50, 51, 54, 56, 58, 61, 63, 66, 68, 71, 73, 76, 79, 81, 85, 87, 90, 93, 96, 99, 102, 106, 108, 112, 115, 118 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Table of n, a(n) for n=0..67.

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

FORMULA

Euler transform of length 10 sequence [0, 1, 1, 0, 1, 0, 1, 0, 0, -1].

G.f.: (1 - x^10) / ((1 - x^2) * (1 - x^3) * (1 - x^5) * (1 - x^7)).

a(n) = a(-7-n) for all n in Z.

EXAMPLE

G.f. = 1 + x^2 + x^3 + x^4 + 2*x^5 + 2*x^6 + 3*x^7 + 3*x^8 + 4*x^9 + ...

MATHEMATICA

a[ n_] := Quotient[ n^2 + 7 n - 9 Boole[Mod[n, 3] == 1], 42] + 1;

PROG

(PARI) {a(n) = (n^2 + 7*n - 9*(n%3==1))\42 + 1};

(PARI) {a(n) = my(m=max(n, -7-n)); polcoeff( (1 + x^5) / ((1 - x^2)*(1 - x^3)*(1 - x^7))+ x*O(x^m), m)};

CROSSREFS

Sequence in context: A092982 A302930 A248868 * A030566 A007963 A137222

Adjacent sequences:  A320611 A320612 A320613 * A320615 A320616 A320617

KEYWORD

nonn,easy

AUTHOR

Michael Somos, Oct 17 2018

STATUS

approved

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Last modified August 23 22:45 EDT 2019. Contains 326254 sequences. (Running on oeis4.)