cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-3 of 3 results.

A191850 Ordered sums f+4*g, where f and g are Fibonacci numbers (A000045).

Original entry on oeis.org

5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 20, 21, 22, 23, 25, 28, 29, 33, 34, 35, 37, 38, 40, 41, 42, 45, 46, 53, 54, 55, 57, 59, 60, 63, 65, 66, 67, 73, 75, 85, 86, 87, 89, 92, 93, 97, 101, 105, 107, 109, 118, 121, 137, 138, 139, 141, 144, 148, 149, 152
Offset: 1

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Author

Clark Kimberling, Jun 17 2011

Keywords

Crossrefs

Programs

  • Mathematica
    c = 1; d = 4; f[n_] := Fibonacci[n];
    g[n_] := c*f[n]; h[n_] := d*f[n];
    t[i_, j_] := h[i] + g[j];
    u = Table[t[i, j], {i, 1, 20}, {j, 1, 20}];
    v = Union[Flatten[u ]]    (* A191850 *)
    t1[i_, j_] := If[g[i] - h[j] > 0, g[i] - h[j], 0]
    u1 = Table[t1[i, j], {i, 1, 20}, {j, 1, 20}];
    v1 = Union[Flatten[u1 ]]  (* A191851: f(i)-4*f(j) *)
    g1[n_] := d*f[n]; h1[n_] := c*f[n];
    t2[i_, j_] := If[g1[i] - h1[j] > 0, g1[i] - h1[j], 0]
    u2 = Table[t2[i, j], {i, 1, 20}, {j, 1, 20}];
    v2 = Union[Flatten[u2 ]]  (* A191852: 4*f(i)-f(j) *)
    v3 = Union[v1, v2]        (* A191853 *)

A191851 Ordered nonnegative difference f-4*g, where f and g are positive Fibonacci numbers (A000045).

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 8, 9, 13, 14, 17, 21, 22, 23, 26, 30, 34, 35, 37, 43, 47, 51, 55, 57, 60, 69, 77, 81, 85, 89, 92, 97, 112, 124, 132, 136, 140, 144, 149, 157, 181, 201, 213, 221, 225, 229, 233, 241, 254, 293, 325, 345, 357, 365, 369, 373, 377, 390, 411, 474
Offset: 1

Views

Author

Clark Kimberling, Jun 17 2011

Keywords

Crossrefs

Programs

A191852 Ordered nonnegative differences 4*f-g, where f and g are positive Fibonacci numbers (A000045).

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 15, 17, 18, 19, 24, 27, 29, 30, 31, 39, 44, 47, 49, 50, 51, 63, 71, 76, 79, 81, 82, 83, 102, 115, 123, 128, 131, 133, 134, 135, 165, 186, 199, 207, 212, 215, 217, 218, 219, 267, 301, 322, 335, 343, 348, 351, 353, 354
Offset: 1

Views

Author

Clark Kimberling, Jun 17 2011

Keywords

Crossrefs

Programs

  • Mathematica
    (See A191850.)
    Select[Union[4*First[#]-Last[#]&/@Tuples[Fibonacci[Range[20]],2]],#>=0&] (* Harvey P. Dale, Oct 15 2014 *)
Showing 1-3 of 3 results.