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A132727 a(n) = 3*2^(n-1)*a(n-1) +0
1
1, 3, 18, 216, 5184, 248832, 23887872, 4586471424, 1761205026816, 1352605460594688, 2077601987473440768, 6382393305518410039296, 39213424469105111281434624, 481854559876363607426268659712 (list; graph; listen)
OFFSET

1,2

COMMENT

Power sequence relate to the Pythagorean musical scale: v(n,m)=v[0]*2^n*3*m starting at m=1: a(n)=3*2^(n-1)*a(n-1).

Hankel transform of A089022 with interpolated zeros. - Paul Barry (pbarry(AT)wit.ie), Mar 17 2008

FORMULA

a(n)=3^n*2^comb(n,2). - Paul Barry (pbarry(AT)wit.ie), Mar 17 2008

MATHEMATICA

a[0] = 1; a[1] = 3; a[n_] := a[n] = 3*2^(n - 1)*a[n - 1]; Table[a[n], {n, 0, 20}]

CROSSREFS

Sequence in context: A002824 A135077 A024488 this_sequence A111841 A071605 A137223

Adjacent sequences: A132724 A132725 A132726 this_sequence A132728 A132729 A132730

KEYWORD

nonn

AUTHOR

Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Nov 17 2007

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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