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 A096037 Triangle T(n,m) = (3*n+3*m-2)*(n+1-m)/2 read by rows. 3
 2, 7, 5, 15, 13, 8, 26, 24, 19, 11, 40, 38, 33, 25, 14, 57, 55, 50, 42, 31, 17, 77, 75, 70, 62, 51, 37, 20, 100, 98, 93, 85, 74, 60, 43, 23, 126, 124, 119, 111, 100, 86, 69, 49, 26, 155, 153, 148, 140, 129, 115, 98, 78, 55, 29, 187, 185, 180, 172, 161, 147, 130, 110, 87, 61 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS FORMULA T(n,m) = (3*n+3*m-2)*(n+1-m)/2 . T(n,m) = A094930(n,m)/(3*m-1). T(n,1) = A005449(n). T(n,n) = A016768(n-1). Row sums: sum_{m=1..n} T(n,m) = n^2*(n+1) = A011379(n). EXAMPLE The triangle starts in row n=1 as 2; 7,5; 15,13,8; 26,24,19,11; PROG (Python) def A096037(n, m): ...return (3*n+3*m-2)*(n+1-m)/2 print( [A096037(n, m) for n in range(20) for m in range(1, n+1)] ) # R. J. Mathar, Oct 11 2009 CROSSREFS Cf. A094930, A024212, A011379, A002411, A096038, A095794. Sequence in context: A165355 A038004 A100792 * A286379 A233248 A114025 Adjacent sequences:  A096034 A096035 A096036 * A096038 A096039 A096040 KEYWORD nonn,easy,tabl AUTHOR Gary W. Adamson, Jun 17 2004 EXTENSIONS Edited and extended, A-numbers corrected by R. J. Mathar, Oct 11 2009 STATUS approved

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Last modified June 6 03:56 EDT 2020. Contains 334858 sequences. (Running on oeis4.)