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 A152205 Triangle read by rows, A000012 * A152204 4
 1, 4, 9, 1, 16, 4, 25, 9, 1, 36, 16, 4, 49, 25, 9, 1, 64, 36, 16, 4, 81, 49, 25, 9, 1, 100, 64, 36, 16, 4, 121, 81, 49, 25, 9, 1, 144, 100, 64, 36, 16, 4, 169, 121, 81, 49, 25, 9, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Row sums = A000292, the tetrahedral numbers. Contribution from Gary W. Adamson, Feb 14 2010: (Start) Let the triangle = M. Then Lim_{n->inf} M^n = A173277 as a left-shifted vector: (1, 4, 13, 32, 74, 152, 298,...) = A(x), where A(x) satisfies A000290 = A(x)/A(x^2), A000290 = integer squares. M * [1, 2, 3,...] = A001752: (1, 4, 11, 24, 46, 80, 130,...). M * [1, 3, 6, 10,...] = A028346: (1, 4, 12, 28, 58, 108,...). (End) LINKS FORMULA A000012 * A152204 = partial sums of A152204 by columns. EXAMPLE First few rows of the triangle = 1; 4; 9, 1; 16, 4; 25, 9, 1; 36, 16, 4; 49, 25, 9, 1; 64, 36, 16, 4; 81, 49, 25, 9, 1; 100, 64, 36, 16, 4; 121, 81, 49, 25, 9, 1; 144, 100, 64, 36, 16, 4; 169, 121, 81, 49, 25, 9, 1; ... CROSSREFS Cf. A173277, A001752, A028346 [From Gary W. Adamson, Feb 14 2010] Sequence in context: A070438 A070638 A236104 * A129861 A055491 A032523 Adjacent sequences:  A152202 A152203 A152204 * A152206 A152207 A152208 KEYWORD nonn,tabf AUTHOR Gary W. Adamson, Nov 29 2008 STATUS approved

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Last modified April 19 20:13 EDT 2021. Contains 343117 sequences. (Running on oeis4.)