A059503 The array in A059502 read by antidiagonals in 'up' direction.

1, 2, 3, 3, 5, 9, 4, 7, 14, 27, 5, 9, 19, 40, 80, 6, 11, 24, 53, 114, 234, 7, 13, 29, 66, 148, 323, 677, 8, 15, 34, 79, 182, 412, 910, 1941, 9, 17, 39, 92, 216, 501, 1143, 2551, 5523, 10, 19, 44, 105, 250, 590, 1376, 3161, 7120, 15615, 11, 21, 49, 118

Offset: 0

Author

Floor van Lamoen, Jan 19 2001

Keywords

• nonn
• tabl
• nice
• easy

Examples

			The array begins
1 3 9 27 80 ...
2 5 14 40 ...
3 7 19 ...
4 9 5 ...
		

Links

• G. C. Greubel, Table of n, a(n) for the first 50 rows, flattened
• Index entries for sequences related to boustrophedon transform

Crossrefs

Rows give A059502, A059505, A059506, A059507, A059508; main diagonal = A059509.

Cf. A000667, A059216, A059219.

Programs

Mathematica

T[n_, k_] := ((3 - k)*Fibonacci[2*k] + (5*n + 3*k)*Fibonacci[2*k - 1])/5;
TableForm[Table[T[n, k], {n, 0, 5}, {k, 1, 5}]]
Table[T[n - k, k + 1], {n, 0, 10}, {k, 0, n}]//Flatten (* G. C. Greubel, Sep 10 2017 *)

Formula

T(n,k) = ((3 - k)*Fibonacci(2*k) + (5*n + 3*k)*Fibonacci(2*k - 1))/5. - G. C. Greubel, Sep 10 2017