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 A129687 A129686 * A007318. 2
 1, 1, 1, 2, 2, 1, 2, 4, 3, 1, 2, 6, 7, 4, 1, 2, 8, 13, 11, 5, 1, 2, 10, 21, 24, 16, 6, 1, 2, 12, 31, 45, 40, 22, 7, 1, 2, 14, 43, 76, 85, 62, 29, 8, 1, 2, 16, 57, 119, 161, 147, 91, 37, 9, 1, 2, 18, 73, 176, 280, 308, 238, 128, 46, 10, 1, 2, 20, 91, 249, 456 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Row sums = A084215: (1, 2, 5, 10, 20, 40, 80,...). A007318 * A129686 = A124725. From Philippe Deléham, Feb 12 2014: (Start) Riordan array ((1+x^2)/(1-x), x/(1-x)). Diagonal sums are A000032(n) - 0^n (Cf. A000204). T(n,0) = A046698(n+1). T(n+1,1) = A004277(n). T(n+2,2) = A002061(n+1). T(n+3,3) = A006527(n+1) = A167875(n). T(n+4,4) = A006007(n+1). T(n+5,5) = A081282(n+1). (End) LINKS FORMULA A129686 * A007318 (Pascal's Triangle), as infinite lower triangular matrices. T(n,k) = T(n-1,k) + T(n-1,k-1), T(0,0) = T(1,0) = T(1,1) = T(2,2) = 1, T(2,0) = T(2,1) = 2, T(n,k) = 0 if k<0 or if k>n. - Philippe Deléham, Feb 12 2014 EXAMPLE First few rows of the triangle are: 1; 1, 1; 2, 2, 1; 2, 4, 3, 1; 2, 6, 7, 4, 1; 2, 8, 13, 11, 5, 1; 2, 10, 21, 24, 16, 6, 1; 2, 12, 31, 45, 40, 22, 7, 1; 2, 14, 43, 76, 85, 62, 29, 8, 1; 2, 16, 57, 119, 161, 147, 91, 37, 9, 1; ... CROSSREFS Cf. A129686, A007318, A124725. Cf. Columns: A046698, A004277, A002061, A006527, A006007, A081282 Sequence in context: A193292 A275297 A300667 * A274742 A128176 A144963 Adjacent sequences:  A129684 A129685 A129686 * A129688 A129689 A129690 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Apr 28 2007 EXTENSIONS More terms from Philippe Deléham, Feb 12 2014 STATUS approved

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Last modified May 21 23:55 EDT 2019. Contains 323472 sequences. (Running on oeis4.)