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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 (list; table; graph; refs; listen; history; text; internal format)
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 :

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 * A330903 A278910 A235669

Adjacent sequences:  A199331 A199332 A199333 * A199335 A199336 A199337

KEYWORD

easy,nonn,tabl

AUTHOR

Philippe Deléham, Nov 07 2011

STATUS

approved

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Last modified October 29 20:41 EDT 2020. Contains 338073 sequences. (Running on oeis4.)