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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

Table of n, a(n) for n=1..65.

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.)