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 A133601 A007318 * (A097806 + A133080 - I), I = Identity matrix. 2
 1, 3, 1, 5, 3, 1, 7, 6, 5, 1, 9, 10, 14, 5, 1, 11, 15, 30, 15, 7, 1, 13, 21, 55, 35, 27, 7, 1, 15, 28, 91, 70, 77, 28, 9, 1, 17, 36, 140, 126, 182, 84, 44, 9, 1, 19, 45, 204, 210, 378, 210, 156, 45, 11, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS FORMULA A007318 * (A097806 + A133080 - I), I = Identity matrix. Binomial transform of an infinite lower triangular matrix with (1,1,1,...) in the main diagonal and (2,1,2,1,2,...) in the subdiagonal; and the rest zeros. EXAMPLE First few rows of the triangle are: 1; 3, 1; 5, 3, 1; 7, 6, 5, 1; 9, 10, 14, 5, 1; 11, 15, 30, 15, 7, 1; 13, 21, 55, 35, 27, 7, 1; 15, 28, 91, 70, 77, 28, 9, 1; ... MAPLE A133601aux := proc(n, k)     if n <> k then         A097806(n, k)+A133080(n, k) ;     else         A097806(n, k)+A133080(n, k)-1 ;     end if; end proc: A133601 := proc(n, k)     add( A007318(n, j)*A133601aux(j+1, k+1), j=k..n) ; end proc: # R. J. Mathar, Jun 20 2015 CROSSREFS Cf. A097806, A133080, A052549 (row sums). Sequence in context: A084305 A099375 A130301 * A258207 A133094 A300437 Adjacent sequences:  A133598 A133599 A133600 * A133602 A133603 A133604 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Sep 18 2007 STATUS approved

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Last modified October 23 17:18 EDT 2019. Contains 328373 sequences. (Running on oeis4.)