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A135856 A007318 * a bidiagonal matrix with all 1's in the main diagonal and all 4's in the subdiagonal. +0
2
1, 5, 1, 9, 6, 1, 13, 15, 7, 1, 17, 28, 22, 8, 1, 21, 45, 50, 30, 9, 1, 25, 66, 95, 80, 39, 10, 1, 29, 91, 161, 175, 119, 49, 11, 1, 33, 120, 252, 336, 294, 168, 60, 12, 1, 37, 153, 372, 588, 630, 462, 228, 72, 13, 1 (list; table; graph; listen)
OFFSET

1,2

COMMENT

Row sums = A048487: (1, 6, 16, 36, 76,...).

FORMULA

Binomial transform of an infinite lower triangular matrix with all 1's in the main diagonal and all 4's in the subdiagonal (by columns, (1, 4, 0, 0, 0,...) in every column.

EXAMPLE

First few rows of the triangle are:

1;

5, 1;

9, 6, 1;

13, 15, 7, 1;

17, 28, 22, 8, 1;

21, 45, 50, 30, 9, 1;

25, 66, 95, 80, 39, 10, 1;

...

CROSSREFS

Cf. A048487.

Sequence in context: A094650 A129343 A010482 this_sequence A097414 A114594 A021662

Adjacent sequences: A135853 A135854 A135855 this_sequence A135857 A135858 A135859

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 01 2007

page 1

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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