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A145463 Eigentriangle, row sums = A084509 +0
3
1, 1, 1, 3, 1, 2, 13, 3, 2, 6, 47, 13, 6, 6, 24, 173, 47, 26, 18, 24, 96, 639, 173, 94, 78, 72, 96, 384, 2357, 639, 346, 282, 312, 288, 384, 1536, 8695, 2357, 1278, 1038, 1128, 1248, 1152, 1536, 6144, 32077, 8695, 4714, 3834, 4152, 4512, 4992, 4608, 6144, 24576 (list; table; graph; listen)
OFFSET

1,4

COMMENT

Row sums = A084509: (1, 2, 6, 24, 96, 384, 1536,...).

Right border = A084509 shifted: (1, 1, 2, 6, 24,...).

Sum of n-th row terms = rightmost term of next row.

FORMULA

Triangle read by rows, M * (A084509 * 0^(n-k)). M = an infinite lower triangular matrix with A084519: (1, 1, 3, 13, 47, 173,...) in every column; and (A084509 * 0^(n-k)) = an infinite lower triangular matrix with A084509 (1, 2, 6, 24, 96,...) shifted: (1, 1, 2, 6, 24, 96, 384,...) as the right diagonal and the rest zeros.

EXAMPLE

First few rows of the triangle =

1;

1, 1;

3, 1, 2;

13, 3, 2, 6;

47, 13, 6, 6, 24;

173, 47, 26, 18, 24, 96;

639, 173, 94, 78, 72, 96, 384;

2357, 639, 346, 282, 312, 288, 384, 1536;

...

Row 4 = (13, 3, 2, 6) = termwise products of (13, 3, 1, 1) and (1, 1, 2, 6).

CROSSREFS

A084509, Cf. A084519

Sequence in context: A136125 A092580 A004468 this_sequence A144107 A163485 A126038

Adjacent sequences: A145460 A145461 A145462 this_sequence A145464 A145465 A145466

KEYWORD

eigen,nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 11 2008

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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