

A117501


Triangle generated from an array of generalized Fibonaccilike terms.


1



1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 1, 4, 4, 5, 5, 1, 5, 5, 7, 8, 8, 1, 6, 6, 9, 11, 13, 13, 1, 7, 7, 11, 14, 18, 21, 21, 1, 8, 8, 13, 17, 23, 29, 34, 34, 1, 9, 9, 15, 20, 28, 37, 47, 55, 55, 1, 10, 10, 17, 23, 33, 45, 60, 76, 89, 89
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OFFSET

1,5


COMMENTS

Difference terms of the array columns in triangle format becomes A117502.


LINKS

Table of n, a(n) for n=1..66.


FORMULA

The triangle by rows = antidiagonals of an array in which nth row is generated by a Fibonaccilike operation: (1, n...then a(k+1) = a(k) + a(k1)).


EXAMPLE

First few rows of the array are:
1, 1, 2, 3, 5,...
1, 2, 3, 5, 8,...
1, 3, 4, 7, 11,...
1, 4, 5, 9, 14,...
1, 5, 6, 11, 17,...
...
First few rows of the triangle are:
1;
1, 1;
1, 2, 2;
1, 3, 3, 3;
1, 4, 4, 5, 5;
1, 5, 5, 7, 8, 8;
1, 6, 6, 9, 11, 13, 13;
1, 7, 7, 11, 14, 18, 21, 21;
...


CROSSREFS

Cf. A117502, A001595.
Sequence in context: A071451 A177868 A178701 * A181611 A064740 A080967
Adjacent sequences: A117498 A117499 A117500 * A117502 A117503 A117504


KEYWORD

nonn,tabl


AUTHOR

Gary W. Adamson, Mar 23 2006


STATUS

approved



