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Search: id:A131830
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A131830 A131821 + A007318 - A000012. +0
4
1, 2, 2, 3, 2, 3, 4, 3, 3, 4, 5, 4, 6, 4, 5, 6, 5, 10, 10, 5, 6, 7, 6, 15, 20, 15, 6, 7, 8, 7, 21, 35, 35, 21, 7, 8, 9, 8, 28, 56, 70, 56, 28, 8, 9, 10, 9, 36, 84, 126, 126, 84, 36, 9, 10 (list; table; graph; listen)
OFFSET

0,2

COMMENT

Row sums = A131831: (1, 4, 8, 14, 24, 42, 76,...).

FORMULA

A131821 + A007318 - A000012 as infinite lower triangular matrices. Given Pascal's triangle, replace each (1,1,1,...) border with (1,2,3,...). s

EXAMPLE

First few rows of the triangle are:

1;

2, 2;

3, 2, 3;

4, 3, 3, 4;

5, 4, 6, 4, 5;

6, 5, 10, 10, 5, 6;

7, 6, 15, 20, 15, 6, 7;

...

CROSSREFS

Cf. A131821, A007318, A131831.

Sequence in context: A034883 A071647 A051125 this_sequence A091316 A071825 A115727

Adjacent sequences: A131827 A131828 A131829 this_sequence A131831 A131832 A131833

KEYWORD

nonn,tabl,easy,more

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 20 2007

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


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