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 A152251 Eigentriangle, row sums = A001519, odd-indexed Fibonacci numbers. 2
 1, 1, 1, 2, 1, 2, 4, 2, 2, 5, 8, 4, 4, 5, 13, 16, 8, 8, 10, 13, 34, 32, 16, 16, 20, 26, 34, 89, 64, 32, 32, 40, 52, 68, 89, 233, 128, 64, 64, 80, 104, 136, 178, 233, 610 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Row sums = A001519, the odd indexed Fibonacci numbers starting (1, 2, 5, 13, 34,...). Sum of n-th row terms = rightmost term of next row. LINKS FORMULA Triangle read by rows, M*Q. M = an infinite lower triangular matrix with (1, 1, 2, 4, 8, 16,...) in every column and Q = a matrix (1, 1, 2, 5, 13, 34,...) as the main diagonal and the rest zeros. Let M = production matrix for reversed rows of the triangle as follows: 1, 1; 1, 0, 2; 1, 0, 0, 2; 1, 0, 0, 0, 2; 1, 0, 0, 0, 0, 2; ... Reversal of n-th row of triangle A152251 = top row terms of M^(n-1). Example: top row of M^3 = (5, 2, 2, 4). - Gary W. Adamson, Jul 07 2011 EXAMPLE First few rows of the triangle = 1; 1, 1; 2, 1, 2; 4, 2, 2, 5; 8, 4, 4, 5, 13; 16, 8, 8, 10, 13, 34; 32, 16, 16, 20, 26, 34, 89; 64, 32, 32, 40, 52, 68, 89, 233; 128, 64, 64, 80, 104, 136, 178, 233, 610; ... Row 4 = (8, 4, 4, 5, 13) = termwise products of (8, 4, 2, 1, 1) and (1, 1, 2, 5, 13). CROSSREFS Cf. A001519. Sequence in context: A082793 A114929 A247321 * A144025 A058573 A184990 Adjacent sequences:  A152248 A152249 A152250 * A152252 A152253 A152254 KEYWORD eigen,nonn,tabl AUTHOR Gary W. Adamson, Nov 30 2008 EXTENSIONS Last term corrected by Olivier Gérard, Aug 11 2016 STATUS approved

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