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 A180264 Triangle, row sums = A006054; derived from an infinite lower triangular matrix with (1,1,1,...) as the leftmost column and (1,2,1,1,1,...) as other columns. 2
 1, 1, 1, 2, 2, 1, 1, 1, 4, 5, 1, 1, 2, 10, 11, 1, 1, 2, 5, 22, 25, 1, 1, 2, 5, 11, 50, 56, 1, 1, 2, 5, 11, 50, 56, 1, 1, 2, 5, 11, 25, 112, 126, 1, 1, 2, 5, 11, 25, 56, 252, 283, 1, 1, 2, 5, 11, 25, 56, 126, 566, 636, 1, 1, 2, 5, 11, 25, 56, 126, 283, 1272, 1429 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Row sums = A006054 starting (1, 2, 5, 11, 25, 56, 126,...). Sum of n-th row terms = rightmost term of next row. LINKS FORMULA Let M = an infinite lower triangular matrix with 1's in the leftmost column, and (1,2,1,1,1,...) as other columns. Let Q = a diagonalized variant of A006054 (1, 1, 2, 5, 11, 25, 56,...) as the right border and the rest zeros. Triangle A180264 = M*Q. EXAMPLE First few rows of the triangle = . 1; 1, 1; 1, 2, 2; 1, 1, 4, 5; 1, 1, 2, 10, 11; 1, 1, 2, 5, 22, 25; 1, 1, 2, 5, 11, 50, 56; 1, 1, 2, 5, 11, 25, 112, 126; 1, 1, 2, 5, 11, 25, 56, 252, 283; 1, 1, 2, 5, 11, 25, 56, 126, 566, 636; 1, 1, 2, 5, 11, 25, 56, 126, 283, 1272, 1429; 1, 1, 2, 5, 11, 25, 56, 126, 283, 636, 2858, 3211; ... Example: Row 4 = (1, 1, 4, 5) = termwise products of (1, 1, 2, 1) and (1, 1, 2, 5). CROSSREFS Cf. A006054 Sequence in context: A162741 A104320 A242618 * A225200 A128706 A253586 Adjacent sequences:  A180261 A180262 A180263 * A180265 A180266 A180267 KEYWORD nonn,tabf AUTHOR Gary W. Adamson, Aug 21 2010 STATUS approved

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Last modified June 25 05:41 EDT 2019. Contains 324346 sequences. (Running on oeis4.)