

A199334


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


2



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,k1) + T(n1,k1) = T(n1,k1) + T(n1,k).


EXAMPLE

Triangle begins :
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


CROSSREFS

Cf. A000045, A001906, A014445.
Sequence in context: A327717 A085203 A251104 * A278910 A235669 A118088
Adjacent sequences: A199331 A199332 A199333 * A199335 A199336 A199337


KEYWORD

easy,nonn,tabl


AUTHOR

Philippe Deléham, Nov 07 2011


STATUS

approved



