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A193588 A Fibonacci triangle: T(n,k) = Fib(k+2) for 0 <= k <= n. 2
1, 1, 2, 1, 2, 3, 1, 2, 3, 5, 1, 2, 3, 5, 8, 1, 2, 3, 5, 8, 13, 1, 2, 3, 5, 8, 13, 21, 1, 2, 3, 5, 8, 13, 21, 34, 1, 2, 3, 5, 8, 13, 21, 34, 55, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

n-th row sum: A001911, Fib(n+3)-2;

n-th alternating row sum: A000045, F(n).

The augmentation (as defined at A193091) of A193588 is A193589.

LINKS

Table of n, a(n) for n=0..77.

FORMULA

a(n) = A115346(n) + 1. - Filip Zaludek, Nov 19 2016

EXAMPLE

First 5 rows of A193588:

1;

1, 2;

1, 2, 3;

1, 2, 3, 5;

1, 2, 3, 5, 8;

MATHEMATICA

(See A193589, the augmentation of A193588.)

Table[Fibonacci[k+2], {n, 0, 20}, {k, 0, n}]//Flatten (* Harvey P. Dale, Nov 29 2017 *)

CROSSREFS

Cf. A193588.

Sequence in context: A060040 A092080 A264482 * A165884 A263939 A347499

Adjacent sequences: A193585 A193586 A193587 * A193589 A193590 A193591

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Jul 31 2011

STATUS

approved

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Last modified February 2 02:30 EST 2023. Contains 359997 sequences. (Running on oeis4.)