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A059503 The array in A059502 read by antidiagonals in 'up' direction. 7
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
T(n,k) = ((3 - k)*Fibonacci(2*k) + (5*n + 3*k)*Fibonacci(2*k - 1))/5. - G. C. Greubel, Sep 10 2017
EXAMPLE
The array begins
1 3 9 27 80 ...
2 5 14 40 ...
3 7 19 ...
4 9 5 ...
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 *)
CROSSREFS
Rows give A059502, A059505, A059506, A059507, A059508; main diagonal = A059509.
Sequence in context: A118808 A265019 A193979 * A317644 A194000 A295781
KEYWORD
nonn,tabl,nice,easy
AUTHOR
Floor van Lamoen, Jan 19 2001
STATUS
approved

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Last modified March 29 11:14 EDT 2024. Contains 371278 sequences. (Running on oeis4.)