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Search: id:A029153
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| A029153 |
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Expansion of 1/((1-x^2)(1-x^3)(1-x^6)(1-x^10)). |
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+0
2
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| 1, 0, 1, 1, 1, 1, 3, 1, 3, 3, 4, 3, 7, 4, 7, 7, 9, 7, 13, 9, 14, 13, 17, 14, 22, 17, 24, 22, 28, 24, 35, 28, 38, 35, 43, 38, 52, 43, 56, 52, 63, 56, 74, 63, 79, 74, 88, 79, 101, 88, 108, 101, 119, 108, 134, 119, 143, 134, 156, 143, 174, 156, 185, 174, 200, 185, 221, 200
(list; graph; listen)
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OFFSET
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0,7
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COMMENT
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A two-way infinite sequences which is palindromic (up to sign). - Michael Somos, Mar 21, 2003
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LINKS
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Index entries for two-way infinite sequences
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FORMULA
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G.f.: 1/((1-x^2)(1-x^3)(1-x^6)(1-x^10)). a(-21-n)=-a(n). a(n)=a(n-2)+a(n-3)-a(n-5)+a(n-6)-a(n-8)-a(n-9)+a(n-10)+a(n-11)-a(n-12)-a(n-13)+a(n-15)-a(n-16)+a(n-18)+a(n-19)-a(n-21).
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MAPLE
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M := Matrix(21, (i, j)-> if (i=j-1) or (j=1 and member(i, [2, 3, 6, 10, 11, 15, 18, 19])) then 1 elif j=1 and member(i, [5, 8, 9, 12, 13, 16, 21]) then -1 else 0 fi); a := n -> (M^(n))[1, 1]; seq (a(n), n=0..67); - Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jul 25 2008
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PROGRAM
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(PARI) a(n)=if(n<-20, -a(-21-n), if(n<0, 0, polcoeff(1/((1-x^2)*(1-x^3)*(1-x^6)*(1-x^10))+x*O(x^n), n)))
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CROSSREFS
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a(n)=A051263(n\2-n%2)=A051263(A028242(n-2)).
Sequence in context: A049996 A143908 A117572 this_sequence A060241 A145015 A085723
Adjacent sequences: A029150 A029151 A029152 this_sequence A029154 A029155 A029156
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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