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Search: id:A014915
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A014915 a(1)=1, a(n)=n*3^(n-1)+a(n-1). +0
9
1, 7, 34, 142, 547, 2005, 7108, 24604, 83653, 280483, 930022, 3055786, 9964519, 32285041, 104029576, 333612088, 1065406345, 3389929279, 10750918570, 33996147910, 107218620331, 337346390797, 1059110761804, 3318547053652 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n) = ((2n - 1)*3^n + 1)/4 = 7a(n - 1) - 15a(n - 2) + 9a(n - 3) = 1 + 2*3 + 3*3^2 + .. + n*3^(n - 1) = a(n - 1) + A027471(n + 1) - Henry Bottomley (se16(AT)btinternet.com), Dec 18 2000

CROSSREFS

Cf. A059045.

Cf. A027261, A064017, A079272.

Sequence in context: A000418 A055852 A122611 this_sequence A137747 A005023 A094256

Adjacent sequences: A014912 A014913 A014914 this_sequence A014916 A014917 A014918

KEYWORD

nonn,easy

AUTHOR

Olivier Gerard (ogerard(AT)ext.jussieu.fr)

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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