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A131824
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Main diagonal of triangle A131823: a(n) = A131823(n,n) for n>=0.
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2
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1, 1, 2, 7, 24, 86, 316, 1177, 4424, 16744, 63724, 243618, 934870, 3598960, 13892776, 53756263, 208434024, 809658440, 3150218032, 12274694280, 47890456576, 187068828772, 731511810152, 2863308366462, 11217762520246, 43984983838966
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| a(n) = [x^n] Product_{i=0..n-1} (1 + x^(2^i))^(n-i) for n>=0.
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MAPLE
| A131824 := proc(n) local f, i ; f := 1 ; if n = 1 then RETURN(1) ; fi ; for i from 0 to n-1 do f := taylor(f*(1+x^(2^i))^(n-i), x=0, n+1) ; od; coeftayl(f, x=0, n) ; end: seq(A131824(n), n=0..27) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 24 2007
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PROG
| (PARI) a(n)=if(n==0, 1, polcoeff(prod(i=0, n-1, (1 + x^(2^i) +x*O(x^n))^(n-i)), n))
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CROSSREFS
| Cf. A131823.
Sequence in context: A141753 A014300 A128086 * A150389 A183876 A104625
Adjacent sequences: A131821 A131822 A131823 * A131825 A131826 A131827
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Jul 19 2007
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 24 2007
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