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Search: id:A081135
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| A081135 |
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5th binomial transform of (0,0,1,0,0,0,.......). |
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+0
7
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| 0, 0, 1, 15, 150, 1250, 9375, 65625, 437500, 2812500, 17578125, 107421875, 644531250, 3808593750, 22216796875, 128173828125, 732421875000, 4150390625000, 23345947265625, 130462646484375, 724792480468750
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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Starting at 1, three-fold convolution of A000351 (powers of 5).
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FORMULA
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a(n)=15a(n-1)-75a(n-2)+125a(n-3), a(0)=a(1)=0, a(2)=1 a(n)=5^(n-2)C(n, 2). G.f. x^2/(1-5x)^3
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MAPLE
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seq(n*(n-1)*5^(n-2)/2, n=0..20); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 03 2007
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PROGRAM
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(Other) SAGE: [lucas_number2(n, 5, 0)*binomial(n, 2)/5^2 for n in xrange(0, 21)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 12 2009]
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CROSSREFS
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Cf. A038845, A027472, A081136.
Sequence in context: A121035 A022739 A085375 this_sequence A084902 A021364 A016103
Adjacent sequences: A081132 A081133 A081134 this_sequence A081136 A081137 A081138
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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), Mar 08 2003
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