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Search: id:A083217
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| 1, 3, 17, 83, 417, 2083, 10417, 52083, 260417, 1302083, 6510417, 32552083, 162760417, 813802083, 4069010417, 20345052083, 101725260417, 508626302083, 2543131510417, 12715657552083, 63578287760417, 317891438802083
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OFFSET
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0,2
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COMMENT
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Binomial transform of A003683 (without leading zero). Inverse binomial transform of A067411.
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FORMULA
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a(n)=(2*5^n+(-1)^n)/3 G.f. (1-x)/((1-5x)(1+x)) E.g.f. (2exp(5x)+exp(-x))/3
a(n)=sum{k=0..n, sum{j=0..n-k, C(n,j)C(n-j,k)J(n-j+1)}} where J(n)=A001045(n); - Paul Barry (pbarry(AT)wit.ie), May 19 2006
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PROGRAM
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sage: from sage.combinat.sloane_functions import recur_gen2b sage: it = recur_gen2b(1, 3, 4, 5, lambda n: 0) sage: [it.next() for i in xrange(1, 24)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 03 2008
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CROSSREFS
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Cf. A082412.
Adjacent sequences: A083214 A083215 A083216 this_sequence A083218 A083219 A083220
Sequence in context: A015525 A062224 A093568 this_sequence A037787 A037668 A119884
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Apr 23 2003
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