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Search: id:A084600
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| A084600 |
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Triangle, read by rows, where the n-th row lists the (2n+1) coefficients of (1+x+2x^2)^n for n>=0. |
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16
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| 1, 1, 1, 2, 1, 2, 5, 4, 4, 1, 3, 9, 13, 18, 12, 8, 1, 4, 14, 28, 49, 56, 56, 32, 16, 1, 5, 20, 50, 105, 161, 210, 200, 160, 80, 32, 1, 6, 27, 80, 195, 366, 581, 732, 780, 640, 432, 192, 64, 1, 7, 35, 119, 329, 721, 1337, 2045, 2674, 2884, 2632, 1904, 1120, 448, 128, 1, 8, 44
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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Triangl by rows, X^n * [1,0,0,0,...]; where X = an infinite tridiagonal matrix with (1,1,1,...) in the main and subdiagonals and (2,2,2,...) in the subsubdiagonal. Also, X = an infinite triangular matrix with (1,1,2,0,0,0,...) in each column. - Gary W. Adamson (qntmpkt(AT)yahoo.com), May 26 2008
Row sums = (1, 4, 16, 64, 256,...). - Gary W. Adamson (qntmpkt(AT)yahoo.com), May 26 2008
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EXAMPLE
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Rows:
{1},
{1,1,2},
{1,2,5,4,4},
{1,3,9,13,18,12,8},
{1,4,14,28,49,56,56,32,16},
{1,5,20,50,105,161,210,200,160,80,32},
{1,6,27,80,195,366,581,732,780,640,432,192,64},
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CROSSREFS
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Cf. A002426, A084601-A084615.
Sequence in context: A136457 A078016 A078046 this_sequence A167482 A137327 A143913
Adjacent sequences: A084597 A084598 A084599 this_sequence A084601 A084602 A084603
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KEYWORD
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nonn,tabl
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Jun 01 2003
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