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Search: id:A113148
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| A113148 |
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Row 7 of table A113143; equal to INVERT of 7-fold factorials shifted one place right. |
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+0
2
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| 1, 1, 2, 11, 141, 2928, 82597, 2925973, 124502114, 6179425823, 350316271761, 22326710345256, 1579953165170881, 122905129550802985, 10423661531476766834, 957176457621821573987, 94608465923392572536421
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n) = Sum_{j=0..k} 7^(k-j)*A111146(k, j).
a(0) = 1; a(n+1) = Sum_{k=0..n} a(k)*A045754(n-k).
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EXAMPLE
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A(x) = 1 + x + 2*x^2 + 11*x^3 + 141*x^4 + 2928*x^5 +...
= 1/(1 - x - x^2 - 8*x^3 - 120*x^4 -...- A045754(n)*x^(n+1)
-...).
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PROGRAM
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(PARI) {a(n)=local(x=X+X*O(X^n)); A=1/(1-x-x^2*sum(j=0, n, x^j*prod(i=0, j, 7*i+1))); return(polcoeff(A, n, X))}
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CROSSREFS
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Cf. A113143, A045754 (7-fold factorials).
Sequence in context: A077544 A087480 A060059 this_sequence A046912 A006122 A111014
Adjacent sequences: A113145 A113146 A113147 this_sequence A113149 A113150 A113151
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KEYWORD
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nonn
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr) and Paul D. Hanna (pauldhanna(AT)juno.com), Oct 28 2005
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