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 A007472 Shifts 2 places left when binomial transform applied twice. (Formerly M2812) 1
 1, 1, 1, 3, 9, 29, 105, 431, 1969, 9785, 52145, 296155, 1787385, 11428949, 77124569, 546987143, 4062341601, 31502219889, 254500383457, 2137863653811, 18639586581097, 168387382189709, 1573599537048265, 15189509662516063, 151243491212611217, 1551565158004180137 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Alois P. Heinz, Table of n, a(n) for n = 0..250 M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to arXiv version] M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to Lin. Alg. Applic. version together with omitted figures] N. J. A. Sloane, Transforms MAPLE bintr:= proc(p) local b;           b:=proc(n) option remember; add (p(k)*binomial(n, k), k=0..n) end         end: b:= (bintr@@2)(a): a:= n-> `if`(n<2, 1, b(n-2)): seq (a(n), n=0..30);  # Alois P. Heinz, Oct 18 2012 MATHEMATICA bintr[p_] := Module[{b}, b[n_] := b[n] = Sum [p[k]*Binomial[n, k], {k, 0, n}]; b]; b = a // bintr // bintr; a[n_] := If[n<2, 1, b[n-2]]; Table[a[n], {n, 0, 25}] (* Jean-François Alcover, Jan 27 2014, after Alois P. Heinz *) CROSSREFS Sequence in context: A136628 A151031 A151032 * A292756 A151451 A138938 Adjacent sequences:  A007469 A007470 A007471 * A007473 A007474 A007475 KEYWORD nonn,nice,eigen AUTHOR STATUS approved

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Last modified January 18 19:46 EST 2020. Contains 331030 sequences. (Running on oeis4.)