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.

A225629 a(n) = Last value in column n of A225630 which is not yet the fixed point A003418(n) of that column.

Original entry on oeis.org

1, 1, 1, 3, 4, 30, 30, 84, 120, 1260, 840, 13860, 13860, 180180, 180180, 180180, 240240, 6126120, 6126120, 116396280, 58198140, 116396280, 116396280, 2677114440, 2677114440, 13385572200, 13385572200, 40156716600, 40156716600, 776363187600, 776363187600
Offset: 0

Views

Author

Antti Karttunen, May 13 2013

Keywords

Comments

a(n) = also the second rightmost terms of row n of irregular table A225632.
a(0)= a(1) = 1 by convention.

Crossrefs

Programs

Formula

a(n) = A225630(n,max(0,A225633(n)-1)).

A225636 a(n) = A225627(n)/A000793(n).

Original entry on oeis.org

1, 1, 1, 2, 3, 5, 5, 7, 8, 9, 7, 14, 11, 13, 15, 44, 39, 26, 26, 22, 33, 33, 39, 39, 143, 143, 143, 153, 78, 187, 221, 221, 209, 209, 247, 247, 323, 323, 418, 418, 391, 646, 437, 437, 646, 969, 969, 969, 969, 782, 874, 874, 1292, 667, 713, 713, 782, 5681, 3496
Offset: 0

Views

Author

Antti Karttunen, May 13 2013

Keywords

Comments

a(n) divides A225558(n) for all n.

Crossrefs

Programs

A225652 a(n) = (1/n) * lcm(n,p1,p2,...,pk) for that partition of n which maximizes this value among all partitions [p1,p2,...,pk] of n.

Original entry on oeis.org

1, 1, 2, 3, 6, 5, 12, 15, 20, 21, 30, 35, 60, 45, 56, 105, 210, 77, 420, 99, 220, 315, 840, 385, 924, 1155, 1540, 585, 2520, 364, 4620, 3465, 3640, 4620, 3432, 5005, 13860, 8190, 6160, 9009, 30030, 4290, 60060, 9945, 12376, 45045, 120120, 17017, 51480, 36036
Offset: 1

Views

Author

Antti Karttunen, May 15 2013

Keywords

Crossrefs

Programs

  • Maple
    b:= proc(n, i) option remember; `if`(n=0, {1},
          `if`(i<1, {}, {seq(map(x->ilcm(x, `if`(j=0, 1, i)),
           b(n-i*j, i-1))[], j=0..n/i)}))
        end:
    a:= n-> max(seq(ilcm(n, i), i=b(n$2)))/n:
    seq(a(n), n=1..50);  # Alois P. Heinz, May 25 2013
  • Mathematica
    b[n_, i_] := b[n, i] = If[n==0, {1}, If[i<1, {}, Table[Map[Function[{x}, LCM[x, If[j==0, 1, i]]], b[n-i*j, i-1]], {j, 0, n/i}]]]; a[n_] := Max[Table[LCM[n, i], {i, b[n, n]}]]/n; Table[Print["a(", n, ") = ", an = a[n]]; an, {n, 1, 50}] (* Jean-François Alcover, Jul 29 2015, after Alois P. Heinz *)
  • Scheme
    (define (A225652 n) (/ (A225646 n) (max 1 n)))

Formula

a(n) = A225646(n)/n.
Showing 1-3 of 3 results.