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 A134836 Antidiagonals of the array: A007318 * A002260(transposed). 2
 1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 7, 8, 3, 1, 1, 9, 16, 8, 3, 1, 1, 11, 27, 20, 8, 3, 1, 1, 13, 41, 43, 20, 8, 3, 1, 1, 15, 58, 81, 48, 20, 8, 3, 1, 1, 17, 78, 138, 106, 48, 20, 8, 3, 1, 1, 19, 101, 218, 213, 112, 48, 20, 8, 3, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Antidiagonals tend to A001792 staring from the right: (1, 3, 8, 20, 48, 112, ...). LINKS Table of n, a(n) for n=1..66. FORMULA Antidiagonals of the array: A007318 * A002260(transform), where A002260 = (1; 1,2; 1,2,3; ...). EXAMPLE First few rows of the array: 1, 1, 1, 1, 1, 1, ...; 1, 3, 3, 3, 3, 3, ...; 1, 5, 8, 8, 8, 8, ...; 1, 7, 16, 20, 20, 20, ...; 1, 9, 27, 43, 48, 48, ...; 1, 11, 41, 81, 106, 112, ...; ... First few rows of the triangle: 1; 1, 1; 1, 3, 1; 1, 5, 3, 1; 1, 7, 8, 3, 1; 1, 9, 16, 8, 3, 1; 1, 11, 27, 20, 8, 3, 1; 1, 13, 41, 43, 20, 8, 3, 1; ... MAPLE A002260 := proc(n, k) if n <= k then n+1; else 0 ; end if; end proc: A007318 := proc(n, k) if k <= n then binomial(n, k) ; else 0 end if; end proc: A134836 := proc(n, k) add( A007318(n, i)*A002260(i, k), i=0..k) ; end proc: seq(seq(A134836(d-k, k), k=0..d), d=0..12) ; # R. J. Mathar, Aug 17 2022 CROSSREFS Cf. A002260, A001792, A116445 (array transposed), A001629 (antidiagonal sums). Sequence in context: A152720 A131247 A114278 * A180955 A349182 A191751 Adjacent sequences: A134833 A134834 A134835 * A134837 A134838 A134839 KEYWORD nonn,tabl,easy AUTHOR Gary W. Adamson, Nov 12 2007 EXTENSIONS One term corrected by R. J. Mathar, Aug 17 2022 STATUS approved

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Last modified August 4 15:45 EDT 2024. Contains 374923 sequences. (Running on oeis4.)