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Search: id:A096037
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| A096037 |
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Triangle T(n,m) = (3*n+3*m-2)*(n+1-m)/2 read by rows. |
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+0
3
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| 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; listen)
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OFFSET
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1,1
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FORMULA
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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).
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EXAMPLE
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The triangle starts in row n=1 as
2;
7,5;
15,13,8;
26,24,19,11;
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PROGRAM
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(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
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CROSSREFS
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Cf. A094930, A024212, A011379, A002411, A096038, A095794.
Sequence in context: A165355 A038004 A100792 this_sequence A114025 A135566 A100759
Adjacent sequences: A096034 A096035 A096036 this_sequence A096038 A096039 A096040
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KEYWORD
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nonn,easy,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 17 2004
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EXTENSIONS
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Edited and extended, A-numbers corrected by R. J. Mathar, (mathar(AT)strw.leidenuniv.nl), Oct 11 2009
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