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Search: id:A016138
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| A016138 |
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Expansion of 1/((1-3x)(1-7x)). |
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+0
2
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| 1, 10, 79, 580, 4141, 29230, 205339, 1439560, 10083481, 70604050, 494287399, 3460188940, 24221854021, 169554572470, 1186886790259, 8308221880720, 58157596211761, 407103302622490, 2849723505777919
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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(7^(n+1)-3^(n+1))/4 - Lambert Klasen (lambert.klasen(AT)gmx.net), Feb 05 2005
((5+sqrt4)^n-(5-sqrt4)^n)/4 in Fibonacci form. Offset 1. a(3)=79. [From Al Hakanson (hawkuu(AT)gmail.com), Dec 31 2008]
a(n)=10*a(n-1)-21*a(n-2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jan 01 2009]
G.f.: x/(1-10*x+21*x^2); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 26 2009]
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PROGRAM
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(Other) sage: [lucas_number1(n, 10, 21) for n in xrange(1, 20)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 26 2009]
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CROSSREFS
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Sequence in context: A056986 A006469 A081905 this_sequence A006329 A077245 A036732
Adjacent sequences: A016135 A016136 A016137 this_sequence A016139 A016140 A016141
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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