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Search: id:A014916
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| A014916 |
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a(1)=1, a(n)=n*4^(n-1)+a(n-1). |
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+0
5
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| 1, 9, 57, 313, 1593, 7737, 36409, 167481, 757305, 3378745, 14913081, 65244729, 283348537, 1222872633, 5249404473, 22429273657, 95443717689, 404681363001, 1710351420985, 7207909559865, 30297653743161, 127054676987449
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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a(n)=(1/9)*[1+4^n*(3*n-1)], with n>=1 [From Paolo P. Lava (ppl(AT)spl.at), Jan 13 2009]
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MAPLE
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a:=n->sum (4^n-4^j, j=0..n): seq(a(n)/3, n=1..31); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 14 2008]
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CROSSREFS
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Sequence in context: A064838 A027210 A045720 this_sequence A045635 A026896 A080961
Adjacent sequences: A014913 A014914 A014915 this_sequence A014917 A014918 A014919
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KEYWORD
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nonn,easy
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AUTHOR
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Olivier Gerard (olivier.gerard(AT)gmail.com)
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