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 A144963 Eigentriangle, row sums = A000081 starting (1, 2, 4, 9, 20, 48, 115, ...). 2
 1, 1, 1, 1, 1, 2, 2, 1, 2, 4, 3, 2, 2, 4, 9, 8, 3, 4, 4, 9, 20, 16, 8, 6, 8, 9, 20, 48, 41, 16, 16, 12, 18, 20, 48, 115, 98, 41, 32, 32, 27, 40, 115, 286, 250, 98, 82, 64, 72, 60, 96, 115, 286, 719 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 COMMENTS Row sums = A000081 starting with offset 2: (1, 2, 4, 9, 20, 48, 115, ...). Right border = (1, 1, 2, 4, 9, 20, 48, ...). Left border = A051573: (1, 1, 1, 2, 3, 8, 16, 41, ...). Sum of n-th row terms = rightmost term of next row. LINKS Table of n, a(n) for n=1..54. FORMULA Eigentriangle by rows, termwise products of A000081 starting with offset 2: (1, 2, 4, 9, 20, 48, ...) and row terms of an A051573 decrescendo triangle: (1; 1,1; 1,1,1; 2,1,1,1; 3,2,1,1,1; ...) where A051573 = (1, 1, 1, 2, 3, 8, 16, 41, ...). EXAMPLE First few rows of the triangle: 1; 1, 1; 1, 1, 2; 2, 1, 2, 4; 3, 2, 2, 4, 9; 8, 3, 4, 4, 9, 20; 16, 8, 6, 8, 9, 20, 48; 41, 16, 16, 12, 18, 20, 48, 115; 98, 41, 32, 32, 27, 40, 48, 115, 286; ... Row 4 = (2, 1, 2, 4) = termwise products of (2, 1, 1, 1) and (1, 1, 2, 4). CROSSREFS Sequence in context: A129687 A274742 A128176 * A305632 A329069 A035374 Adjacent sequences: A144960 A144961 A144962 * A144964 A144965 A144966 KEYWORD eigen,nonn,tabl AUTHOR Gary W. Adamson, Sep 27 2008 STATUS approved

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Last modified December 7 11:41 EST 2023. Contains 367656 sequences. (Running on oeis4.)