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 A113126 A simple 4-diagonal matrix. 3
 1, 1, 2, 1, 2, 3, 1, 2, 3, 4, 0, 2, 3, 4, 5, 0, 0, 3, 4, 5, 6, 0, 0, 0, 4, 5, 6, 7, 0, 0, 0, 0, 5, 6, 7, 8, 0, 0, 0, 0, 0, 6, 7, 8, 9, 0, 0, 0, 0, 0, 0, 7, 8, 9, 10, 0, 0, 0, 0, 0, 0, 0, 8, 9, 10, 11, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 11, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 11, 12, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Row sums are A113127. Diagonal sums are A109613. Diagonals are A000027. LINKS Table of n, a(n) for n=0..100. FORMULA Number triangle where column k has g.f. (1+x+x^2+x^3)(k+1)x^k. EXAMPLE Triangle begins 1; 1,2; 1,2,3; 1,2,3,4; 0,2,3,4,5; 0,0,3,4,5,6; 0,0,0,4,5,6,7; 0,0,0,0,5,6,7,8; 0,0,0,0,0,6,7,8,9; CROSSREFS Cf. A113125. Sequence in context: A115452 A039676 A242359 * A348043 A138060 A023121 Adjacent sequences: A113123 A113124 A113125 * A113127 A113128 A113129 KEYWORD easy,nonn,tabl AUTHOR Paul Barry, Oct 14 2005 STATUS approved

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Last modified June 8 18:04 EDT 2023. Contains 363165 sequences. (Running on oeis4.)