A094102 -id:A094102 - cp's OEIS frontend

A094103 a(n) = sum along n-th diagonal of A094102 (sloping downward to left).

1, 1, 2, 3, 4, 5, 8, 9, 13, 16, 22, 26, 37, 43, 60, 71, 98, 115, 160, 187, 259, 304, 420, 492, 681, 797, 1102, 1291, 1784, 2089, 2888, 3381, 4673, 5472, 7562, 8854, 12237, 14327, 19800, 23183, 32038, 37511, 51840, 60695, 83879, 98208, 135720, 158904, 219601

Offset: 1

Alysia Veenhof (ladyluck1899(AT)hotmail.com), May 05 2004

			a(8) = 2+3+2+1+1 = 9.

Harvey P. Dale, Table of n, a(n) for n = 1..1000
Index entries for linear recurrences with constant coefficients, signature (0,1,1,1,-1,0,-1).

Cf. A094102.

CoefficientList[Series[(1+x+x^2+x^3)/((1-x^3)(1-x^2-x^4)),{x,0,60}],x] (* or *) LinearRecurrence[{0,1,1,1,-1,0,-1},{1,1,2,3,4,5,8},61] (* Harvey P. Dale, Oct 09 2011 *)

G.f.: (1+x+x^2+x^3) / ((1-x^3)*(1-x^2-x^4)).

a(1)=1, a(2)=1, a(3)=2, a(4)=3, a(5)=4, a(6)=5, a(7)=8, a(n) = a(n-2)+a(n-3)+a(n-4)-a(n-5)-a(n-7). - Harvey P. Dale, Oct 09 2011

More terms from Pab Ter (pabrlos(AT)yahoo.com), May 24 2004

A134404 Triangle read by rows in which row n contains Fib(0), ..., Fib(n-1), Fib(n), Fib(n-1), ..., Fib(0).

Original entry on oeis.org

0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 3, 2, 1, 1, 0, 0, 1, 1, 2, 3, 5, 3, 2, 1, 1, 0, 0, 1, 1, 2, 3, 5, 8, 5, 3, 2, 1, 1, 0, 0, 1, 1, 2, 3, 5, 8, 13, 8, 5, 3, 2, 1, 1, 0, 0, 1, 1, 2, 3, 5, 8, 13, 21, 13, 8, 5, 3, 2, 1, 1, 0, 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 21, 13, 8, 5

Offset: 0

N. J. A. Sloane, Apr 07 2008

			Triangle begins:
0
0 1 0
0 1 1 1 0
0 1 1 2 1 1 0
0 1 1 2 3 2 1 1 0
0 1 1 2 3 5 3 2 1 1 0
0 1 1 2 3 5 8 5 3 2 1 1 0
0 1 1 2 3 5 8 13 8 5 3 2 1 1 0
0 1 1 2 3 5 8 13 21 13 8 5 3 2 1 1 0
0 1 1 2 3 5 8 13 21 34 21 13 8 5 3 2 1 1 0
0 1 1 2 3 5 8 13 21 34 55 34 21 13 8 5 3 2 1 1 0
0 1 1 2 3 5 8 13 21 34 55 89 55 34 21 13 8 5 3 2 1 1 0

Cf. A094102.

cp's OEIS Frontend

A094103 a(n) = sum along n-th diagonal of A094102 (sloping downward to left).

Views

Author

Keywords

Examples

Links

Crossrefs

Programs

Mathematica