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 A157898 Triangle read by rows: inverse binomial transform of A059576 3
 1, 0, 1, 1, 1, 2, 0, 2, 2, 4, 1, 2, 6, 4, 8, 0, 3, 6, 16, 8, 16, 1, 3, 12, 16, 40, 16, 32, 0, 4, 12, 40, 40, 96, 32, 64, 1, 4, 20, 40, 120, 96, 224, 64, 128, 0, 5, 20, 80, 120, 336, 224, 512, 128, 256 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 COMMENTS The inverse binomial transform of the triangle A059576 is given by multiplying the triangle with A130595 from the left. Row sums are A097076(n+1) starting 1, 1, 4, 8, 21, 49, ... LINKS EXAMPLE First few rows of the triangle = 1; 0, 1; 1, 1, 2; 0, 2, 2, 4; 1, 2, 6, 4, 8; 0, 3, 6, 16, 8, 16; 1, 3, 12, 16, 40, 16, 32; 0, 4, 12, 40, 40, 96, 32, 64; 1, 4, 20, 40, 120, 96, 224, 64, 128; 0, 5, 20, 80, 120, 336, 224, 512, 128, 256; ... MAPLE A059576 := proc (n, k)     if n = 0 then         return 1;     end if;     if k <= n and k >= 0 then         add((-1)^j*2^(n-j-1)*binomial(k, j)*binomial(n-j, k), j = 0 .. min(k, n-k))     else         0 ;     end if end proc: A157898 := proc(n, k)     add ( A130595(n, j)*A059576(j, k), j=k..n) ; end proc: # R. J. Mathar, Feb 13 2013 CROSSREFS Cf. A059576, A097076 Sequence in context: A226570 A158380 A051734 * A137430 A262138 A308212 Adjacent sequences:  A157895 A157896 A157897 * A157899 A157900 A157901 KEYWORD nonn,tabl,easy AUTHOR Gary W. Adamson and  Roger L. Bagula, Mar 08 2009 STATUS approved

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Last modified April 19 11:34 EDT 2021. Contains 343114 sequences. (Running on oeis4.)