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 A173008 Triangle T(n,k) read by rows: coefficient [x^k] of the polynomial Product_{i=1..n} (x+4^i) in row n, column 0<=k<=n. 1
 1, 4, 1, 64, 20, 1, 4096, 1344, 84, 1, 1048576, 348160, 22848, 340, 1, 1073741824, 357564416, 23744512, 371008, 1364, 1, 4398046511104, 1465657589760, 97615085568, 1543393280, 5957952, 5460, 1, 72057594037927936 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Row sums are 1, 5, 85, 5525, 1419925, 1455423125, 5962868543125, 97701601079103125, 6403069829921181503125, ... (partial products of A092896). Triangle T(n,k), read by rows, given by [4,12,64,240,1024,4032,16384,...] DELTA [1,0,4,0,16,0,64,0,256,0,1024,0,...] where DELTA is the operator defined in A084938. - Philippe Deléham, Oct 01 2011 LINKS Robert Israel, Table of n, a(n) for n = 0..1430 FORMULA T(n,k) = 4^n*T(n-1,k) + T(n-1,k-1) with T(0,0)=1. - Philippe Deléham, Oct 01 2011 EXAMPLE 1, 4, 1, 64, 20, 1, 4096, 1344, 84, 1, 1048576, 348160, 22848, 340, 1, 1073741824, 357564416, 23744512, 371008, 1364, 1, 4398046511104, 1465657589760, 97615085568, 1543393280, 5957952, 5460, 1, MAPLE P:= 1: A:= 1: for n from 1 to 12 do   P:= expand(P*(x+4^n));   A:= A, seq(coeff(P, x, j), j=0..n) od: A; # Robert Israel, Aug 12 2015 MATHEMATICA Clear[p, x, n, q] p[x_, n_, q_] = If[n == 0, 1, Product[x + q^i, {i, 1, n}]]; Table[Table[CoefficientList[p[x, n, q], x], {n, 0, 10}], {q, 2, 10}]; Table[Flatten[Table[CoefficientList[p[x, n, q], x], {n, 0, 10}]], {q, 2, 10}] CROSSREFS Cf. A108084. Sequence in context: A113112 A278578 A069740 * A298828 A114917 A100864 Adjacent sequences:  A173005 A173006 A173007 * A173009 A173010 A173011 KEYWORD nonn,tabl,easy AUTHOR Roger L. Bagula, Feb 07 2010 STATUS approved

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Last modified August 9 22:52 EDT 2020. Contains 336335 sequences. (Running on oeis4.)