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Search: id:A034494
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| 1, 4, 25, 172, 1201, 8404, 58825, 411772, 2882401, 20176804, 141237625, 988663372, 6920643601, 48444505204, 339111536425, 2373780754972, 16616465284801, 116315256993604, 814206798955225, 5699447592686572
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Binomial transform of A081341. Inverse binomial transform of A081342. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 23 2008]
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FORMULA
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E.g.f. exp(4x)cosh(3x). - Paul Barry (pbarry(AT)wit.ie), Apr 20 2003
a(n) = 7a(n-1) - 3, a(0) = 1.
G.f.: (1-4x) / (1-x)(1-7x) . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jul 11 2005
a(n)=8*a(n-1)-7*a(n-2), a(0)=1, a(1)=4. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 15 2008]
((4+sqrt9)^n+(4-sqrt9)^n)/2 in Fibonacci form. [From Al Hakanson (hawkuu(AT)gmail.com), Dec 08 2008]
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PROGRAM
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(Other) sage: [sigma(7, n)/2for n in xrange(0, 20)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 04 2009]
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CROSSREFS
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Sequence in context: A081068 A163072 A140177 this_sequence A084210 A093683 A006348
Adjacent sequences: A034491 A034492 A034493 this_sequence A034495 A034496 A034497
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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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