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Search: id:A084608
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| A084608 |
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Triangle, read by rows, where the n-th row lists the (2n+1) coefficients of (1+2x+3x^2)^n. |
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+0
4
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| 1, 1, 2, 3, 1, 4, 10, 12, 9, 1, 6, 21, 44, 63, 54, 27, 1, 8, 36, 104, 214, 312, 324, 216, 81, 1, 10, 55, 200, 530, 1052, 1590, 1800, 1485, 810, 243, 1, 12, 78, 340, 1095, 2712, 5284, 8136, 9855, 9180, 6318, 2916, 729, 1, 14, 105, 532, 2009, 5922, 13993, 26840, 41979
(list; table; graph; listen)
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OFFSET
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0,3
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EXAMPLE
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Rows:
{1},
{1,2,3},
{1,4,10,12,9},
{1,6,21,44,63,54,27},
{1,8,36,104,214,312,324,216,81},
{1,10,55,200,530,1052,1590,1800,1485,810,243},
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PROGRAM
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(PARI) for(n=0, 10, for(k=0, 2*n, t=polcoeff((1+2*x+3*x^2)^n, k, x); print1(t", ")); print(" "))
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CROSSREFS
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Cf. A002426, A084600-A084606, A006139, A084609-A084615.
Sequence in context: A119865 A076732 A130152 this_sequence A078990 A079639 A104694
Adjacent sequences: A084605 A084606 A084607 this_sequence A084609 A084610 A084611
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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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