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Search: id:A081583
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A081583 Third row of Pascal-(1,2,1) array A081577. +0
3
1, 10, 46, 136, 307, 586, 1000, 1576, 2341, 3322, 4546, 6040, 7831, 9946, 12412, 15256, 18505, 22186, 26326, 30952, 36091, 41770, 48016, 54856, 62317, 70426, 79210, 88696, 98911, 109882, 121636, 134200, 147601, 161866, 177022, 193096 (list; graph; listen)
OFFSET

0,2

COMMENT

Equals binomial transform of [1, 9, 27, 27, 0, 0, 0,...] where (1, 9, 27, 27) = row 3 of triangle A013610. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 19 2008

FORMULA

a(n)=(2+9n+9n^3)/2. G.f. (1+2x)^3/(1-x)^4.

CROSSREFS

Cf. A038764, A081584.

Cf. A013610.

Sequence in context: A007941 A007940 A082604 this_sequence A106600 A085437 A024166

Adjacent sequences: A081580 A081581 A081582 this_sequence A081584 A081585 A081586

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Mar 23 2003

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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