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 A113128 A simple 4-diagonal matrix based on (1+x)^3. 1
 1, 3, 2, 3, 6, 3, 1, 6, 9, 4, 0, 2, 9, 12, 5, 0, 0, 3, 12, 15, 6, 0, 0, 0, 4, 15, 18, 7, 0, 0, 0, 0, 5, 18, 21, 8, 0, 0, 0, 0, 0, 6, 21, 24, 9, 0, 0, 0, 0, 0, 0, 7, 24, 27, 10, 0, 0, 0, 0, 0, 0, 0, 8, 27, 30, 11, 0, 0, 0, 0, 0, 0, 0, 0, 9, 30, 33, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 33, 36, 13, 0, 0, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Row sums are A086570. Diagonal sums are the odd numbers A005408. LINKS FORMULA Number triangle where column k has g.f. (1+x)^3*(k+1)x^k. EXAMPLE Triangle begins 1; 3, 2; 3, 6, 3; 1, 6, 9, 4; 0, 2, 9, 12, 5; 0, 0, 3, 12, 15, 6; 0, 0, 0, 4, 15, 18, 7; 0, 0, 0, 0, 5, 18, 21, 8; CROSSREFS Sequence in context: A343368 A021313 A240162 * A220075 A266593 A130459 Adjacent sequences:  A113125 A113126 A113127 * A113129 A113130 A113131 KEYWORD easy,nonn,tabl AUTHOR Paul Barry, Oct 14 2005 STATUS approved

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Last modified November 26 21:07 EST 2021. Contains 349344 sequences. (Running on oeis4.)