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.

A191929 Ordered sums f+4g, where f and g are Lucas numbers (A000032 beginning at 1).

Original entry on oeis.org

5, 7, 8, 11, 13, 15, 16, 17, 19, 20, 22, 23, 27, 29, 30, 31, 32, 33, 34, 35, 39, 41, 45, 46, 47, 48, 51, 55, 57, 59, 62, 63, 73, 75, 76, 79, 80, 83, 88, 90, 91, 92, 101, 104, 117, 119, 120, 123, 127, 134, 135, 139, 145, 148, 151, 163, 167, 189, 191, 192, 195
Offset: 1

Views

Author

Clark Kimberling, Jun 19 2011

Keywords

Crossrefs

Programs

  • Mathematica
    c = 1; d = 4; f[n_] := LucasL[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]]    (* A191929 *)
    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]]  (* A191930: c*f(i)-d*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]]  (* A191931: d*f(i)-c*f(j) *)
    v3 = Union[v1, v2]       (* A191932 *)

A191931 Ordered sequence of nonnegative differences 4f-g, where f and g are Lucas numbers (A000032 beginning at 1).

Original entry on oeis.org

0, 1, 3, 5, 8, 9, 10, 11, 12, 13, 15, 17, 21, 24, 25, 26, 27, 33, 37, 40, 41, 43, 54, 61, 65, 68, 69, 71, 87, 98, 105, 109, 112, 113, 115, 141, 159, 170, 177, 181, 184, 185, 187, 228, 257, 275, 286, 293, 297, 300, 301, 303, 369, 416, 445, 463, 474, 481, 485
Offset: 1

Views

Author

Clark Kimberling, Jun 19 2011

Keywords

Crossrefs

Programs

  • Mathematica
    (See A191929.)
    Take[Union[Select[4First[#]-Last[#]&/@Tuples[LucasL[Range[20]],{2}], #>=0&]],70] (* Harvey P. Dale, Aug 21 2011 *)

A191932 Ordered sequence of nonnegative differences c*f-d*g, where f and g are Lucas numbers (A000032 beginning at 1) and {c,d}={1,4}.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 21, 24, 25, 26, 27, 29, 31, 32, 33, 35, 37, 40, 41, 43, 47, 48, 51, 54, 60, 61, 64, 65, 68, 69, 71, 72, 76, 79, 83, 87, 95, 98, 105, 107, 109, 111, 112, 113, 115, 119, 123, 127, 134, 141, 155
Offset: 1

Views

Author

Clark Kimberling, Jun 19 2011

Keywords

Crossrefs

Programs

Showing 1-3 of 3 results.