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 A160570 Triangle read by rows, A160552 convolved with (1, 2, 2, 2,...); row sums = A139250, the Toothpick sequence. 3
 1, 1, 2, 3, 2, 2, 1, 6, 2, 2, 3, 2, 6, 2, 2, 5, 6, 2, 6, 2, 2, 7, 10, 6, 2, 6, 2, 2, 1, 14, 10, 6, 2, 6, 2, 2, 3, 2, 14, 10, 6, 2, 6, 2, 2, 5, 6, 2, 14, 10, 6, 2, 6, 2, 2, 7, 10, 6, 2, 14, 10, 6, 2, 6, 2, 2, 5, 14, 10, 6, 2, 14, 10, 6, 2, 6, 2, 2, 11, 10, 14, 10, 6, 2, 14, 10, 6, 2, 6 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Nathaniel Johnston, Table of n, a(n) for n = 1..10000 David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS FORMULA Construct triangle M = an infinite lower triangular Toeplitz matrix with A160552: (1, 1, 3, 1, 3, 5, 7,...) in every column. Let Q = an infinite lower triangular matrix with (1, 2, 2, 2, 2,...) as the main diagonal and the rest zeros. A160570 = M * Q. EXAMPLE First few rows of the triangle = .1; .1, 2; .3, 2, 2; .1, 6, 2, 2; .3, 2, 6, 2, 2; .5, 6, 2, 6, 2, 2; .7, 10, 6, 2, 6, 2, 2; .1, 14, 10, 6, 2, 6, 2, 2; .3, 2, 14, 10, 6, 2, 6, 2, 2; .5, 6, 2, 14, 10, 6, 2, 6, 2, 2; .... Example: Row 4 = (1, 6, 2, 2) = (1, 3, 1, 1) dot (1, 2, 2, 2); where (1 + 6 + 2 + 2) = A139250(4), i.e., 4th term in the Toothpick sequence. MAPLE T:=proc(n, k)if(k=1)then return A160552(n):else return 2*A160552(n-k+1):fi:end: for n from 1 to 8 do for k from 1 to n do print(T(n, k)); od:od: # Nathaniel Johnston, Apr 13 2011 CROSSREFS Cf. A160552, A139250. Sequence in context: A049342 A112966 A286657 * A128830 A090387 A030329 Adjacent sequences:  A160567 A160568 A160569 * A160571 A160572 A160573 KEYWORD nonn,tabl,easy AUTHOR Gary W. Adamson, May 19 2009 STATUS approved

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Last modified October 23 01:24 EDT 2018. Contains 316518 sequences. (Running on oeis4.)