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A117501 Triangle generated from an array of generalized Fibonacci-like 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 (list; table; graph; refs; listen; history; text; internal format)
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 n-th row is generated by a Fibonacci-like operation: (1, n...then a(k+1) = a(k) + a(k-1)).

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

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Last modified March 21 20:18 EDT 2019. Contains 321382 sequences. (Running on oeis4.)