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A008680
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Expansion of 1/(1-x^3 )(1-x^4 )(1-x^5 ).
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0
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1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 8, 8, 8, 9, 10, 10, 11, 11, 12, 13, 13, 14, 15, 15, 16, 17, 18, 18, 19, 20, 21, 22, 22, 23, 25, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 37, 38, 40, 41, 42, 43, 44, 46, 47, 48, 49, 51, 52, 53, 55, 56, 57
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OFFSET
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0,9
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LINKS
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Table of n, a(n) for n=0..77.
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 228
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FORMULA
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Euler transform of length 5 sequence [ 0, 0, 1, 1, 1]. - Michael Somos Aug 13 2007
G.f.: 1/( (1-x^3)* (1-x^4)* (1-x^5)). a(-12-n)= a(n). - Michael Somos Aug 13 2007
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MAPLE
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a:= proc(n) local m, r; m:= iquo (n, 60, 'r'); r:= r+1; (5+r+30*m)*m+ [1, 0$2, 1$5, 2$4, 3$3, 4$3, 5$2, 6$3, 7, 8$3, 9, 10$2, 11$2, 12, 13$2, 14, 15$2, 16, 17, 18$2, 19, 20, 21, 22$2, 23, 25, i$i=25..35][r] end: seq (a(n), n=0..100); [From Alois P. Heinz, Oct 06 2008]
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MATHEMATICA
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CoefficientList[Series[1/((1-x^3)(1-x^4)(1-x^5)), {x, 0, 80}], x] (* From Harvey P. Dale, Apr 29 2011 *)
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PROG
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(PARI) {a(n)= if(n<0, n=-12-n); polcoeff(1/ (1-x^3)/ (1-x^4)/ (1-x^5) +x*O(x^n), n)} /* Michael Somos Aug 13 2007 */
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CROSSREFS
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Sequence in context: A029917 A062300 A086916 * A120203 A029280 A060971
Adjacent sequences: A008677 A008678 A008679 * A008681 A008682 A008683
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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