A199334 - OEIS

A199334

Triangle T(n,k) = Fibonacci(n+k), related to A000045 (Fibonacci numbers).

0, 1, 1, 1, 2, 3, 2, 3, 5, 8, 3, 5, 8, 13, 21, 5, 8, 13, 21, 34, 55, 8, 13, 21, 34, 55, 89, 144, 13, 21, 34, 55, 89, 144, 233, 377, 21, 34, 55, 89, 144, 233, 377, 610, 987, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584

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OFFSET

0,5

LINKS

Table of n, a(n) for n=0..54.

FORMULA

T(n,0) = Fibonacci(n) = A000045(n),

T(n,n) = Fibonacci(2n) = A001906(n),

T(2n,n) = Fibonacci(3n) = A014445(n).

T(n,k) = T(n,k-1) + T(n-1,k-1) = T(n-1,k-1) + T(n-1,k).

EXAMPLE

Triangle begins :

1, 1;

1, 2, 3;

2, 3, 5, 8;

3, 5, 8, 13, 21;

5, 8, 13, 21, 34, 55;

8, 13, 21, 34, 55, 89, 144;

13, 21, 34, 55, 89, 144, 233, 377;

...

CROSSREFS

Cf. A000045, A001906, A014445.

Row sums give A362067.

Sequence in context: A327717 A085203 A251104 * A330903 A278910 A337982

Adjacent sequences: A199331 A199332 A199333 * A199335 A199336 A199337

KEYWORD

easy,nonn,tabl

AUTHOR

Philippe Deléham, Nov 07 2011

STATUS

approved