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Search: id:A090365
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| A090365 |
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Shifts 1 place left under the INVERT transform of the BINOMIAL transform of this sequence. |
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+0
6
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| 1, 1, 3, 11, 47, 225, 1177, 6625, 39723, 251939, 1681535, 11764185, 86002177, 655305697, 5193232611, 42726002123, 364338045647, 3215471252769, 29331858429241, 276224445794785, 2682395337435723, 26832698102762435
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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The Hankel transform of this sequence is A000178(n+1); example: det([1,1,3; 1,3,11; 3,11,47]) = 12 . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Mar 02 2005
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FORMULA
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G.f.: A(x) = 1/(1 - A(x/(1-x))*x/(1-x) ).
a(n) = Sum_{k = 0..n} A085838(n, k) . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Jun 04 2004
G.f.: 1/x-1-1/(B(x)-1) where B(x) = g.f. for A000110 the Bell numbers. - Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 08 2004
a(n)=Sum_{k, 0<=k<=n}A094456(n,k). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 07 2007
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PROGRAM
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(PARI) {a(n)=local(A); if(n<0, 0, A=1+x+x*O(x^n); for(k=1, n, B=subst(A, x, x/(1-x))/(1-x)+x*O(x^n); A=1+x*A*B); polcoeff(A, n, x))}
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CROSSREFS
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Cf. A090366, A090367.
Cf. A074664.
Sequence in context: A059284 A118927 A062146 this_sequence A035009 A051296 A030832
Adjacent sequences: A090362 A090363 A090364 this_sequence A090366 A090367 A090368
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Nov 26 2003
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