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 A145765 Eigentriangle, row sums = A116975, number of compositions of n using terms == (1,4) mod 5 1
 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 3, 0, 1, 0, 1, 0, 0, 5, 0, 0, 1, 0, 2, 0, 0, 7, 1, 0, 0, 1, 0, 30, 0, 10, 0, 1, 0, 0, 2, 0, 50, 0, 15, 1, 0, 1, 0, 0, 3, 0, 7, 0, 0, 23, 0, 1, 0, 1, 0, 0, 50, 10, 0, 0, 35, 0, 0, 1, 0, 2, 0, 0, 7, 0, 15, 0, 0, 52, 1, 0, 0, 1, 0, 3, 0, 0, 10, 0, 23, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,15 COMMENTS Row sums = A116975, the number of componsitions of n using terms == (1,4) mod 5: (1, 1, 1, 2, 3, 5, 7, 10, 15, 23, 35, 52, 77, 115,...). Sum of n-th row terms = rightmost term of next row. LINKS FORMULA Let T = an infinite lower triangular matrix with (1, 0, 0, 1, 0, 1,...repeat...); (i.e. the characteristic function of (1,4) mod 5) in every column. Let X = an infinite lower triangular matrix with A116975 as the main diagonal prefaced with a 1: (1, 1, 1, 1, 2, 3, 5, 7, 10, 15, 23,...). Triangle A145765 = T * X EXAMPLE First few rows of the triangle = 1; 0, 1; 0, 0, 1; 1, 0, 0, 1; 0, 1, 0, 0, 2; 1, 0, 1, 0, 0, 3; 0, 1, 0, 1, 0, 0, 5; 0, 0, 1, 0, 2, 0, 0, 7; 1, 0, 0, 1, 0, 3, 0, 0, 10; 0, 1, 0, 0, 2, 0, 5, 0, 0, 15; 1, 0, 1, 0, 0, 3, 0, 7, 0, 0, 23; 0, 1, 0, 1, 0, 0, 5, 0, 10, 0, 0, 35; 0, 0, 1, 0, 2, 0, 0, 7, 0, 15, 0, 0, 52; 1, 0, 0, 1, 0, 3, 0, 0, 10, 0, 23, 0, 0, 77; ... CROSSREFS Cf. A145765. Sequence in context: A116488 A216601 A283000 * A157424 A144961 A144627 Adjacent sequences:  A145762 A145763 A145764 * A145766 A145767 A145768 KEYWORD eigen,nonn,tabl AUTHOR Gary W. Adamson, Oct 18 2008 STATUS approved

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Last modified October 21 20:44 EDT 2019. Contains 328315 sequences. (Running on oeis4.)