A188461 A Deutsch-Fibonacci triangle.

1, 1, 1, 1, 5, 1, 1, 10, 10, 1, 1, 16, 39, 16, 1, 1, 23, 99, 99, 23, 1, 1, 31, 203, 375, 203, 31, 1, 1, 40, 366, 1065, 1065, 366, 40, 1, 1, 50, 605, 2521, 4027, 2521, 605, 50, 1, 1, 61, 939, 5266, 12220, 12220, 5266, 939, 61, 1

Offset

0,5

Comments

Second column is A052905. Third column is A188480.

Links

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

Formula

T(n,k)=sum{j=0..n-k+1, (j/(n+2-j))C(n+2-j,n-k+1)*C(n+2-j,k+1)*F(j+1)}.

Example

Triangle begins
1,
1, 1,
1, 5, 1,
1, 10, 10, 1,
1, 16, 39, 16, 1,
1, 23, 99, 99, 23, 1,
1, 31, 203, 375, 203, 31, 1,
1, 40, 366, 1065, 1065, 366, 40, 1,
1, 50, 605, 2521, 4027, 2521, 605, 50, 1,
1, 61, 939, 5266, 12220, 12220, 5266, 939, 61, 1

Crossrefs

Cf. A100754, A188474.

Sequence in context: A255831 A363970 A356113 * A188474 A173046 A173043

Adjacent sequences: A188458 A188459 A188460 * A188462 A188463 A188464

Keyword

nonn,easy,tabl

Author

Paul Barry, Apr 01 2011

Status

approved