A276705 -id:A276705 - cp's OEIS frontend

A276704 Records in A249859.

3, 5, 6, 21, 45, 77, 117, 165, 221, 285, 357, 437, 525, 621, 725, 837, 957, 1085, 1221, 1365, 1517, 1677, 1845, 2021, 2205, 2397, 2597, 2805, 3021, 3245, 3477, 3717, 3965, 4221, 4485, 4757, 5037, 5325, 5621, 5925, 6237, 6557, 6885, 7221, 7565, 7917, 8277

Offset: 1

Colin Barker, Sep 15 2016

nonn

The indices of the records seem to be 4 and the odd integers.

Cf. A249859, A276705.

Conjectures: (Start)
a(n) = 4*n^2-12*n+5 for n>3.
a(n) = 3*a(n-1)-3*a(n-2)+a(n-3) for n>6.
G.f.: x*(3-4*x+15*x^3-5*x^4-x^5) / (1-x)^3.
(End)

A276706 Indices of records in A249860.

Original entry on oeis.org

1, 2, 4, 5, 6, 7, 8, 10, 14, 16, 20, 22, 26, 28, 32, 34, 38, 40, 44, 46, 50, 52, 56, 58, 62, 64, 68, 70, 74, 76, 80, 82, 86, 88, 92, 94, 98, 100, 104, 106, 110, 112, 116, 118, 122, 124, 128, 130, 134, 136, 140, 142, 146, 148, 152, 154, 158, 160, 164, 166

Offset: 1

Colin Barker, Sep 15 2016

nonn

The records corresponding to the indices are in A276705.

Cf. A249860, A276705.

lista(nn) = {rec = 0; for (n=1, nn, an = lcm(n-3, n+3); if (an > rec, rec = an; print1(n, ", ")););} \\ Michel Marcus, Sep 16 2016

Conjectures: (Start)
a(n) = a(n-1)+a(n-2)-a(n-3) for n>3.
a(n) = (6*n-27-(-1)^n)/2 for n>6.
G.f.: x*(1+x+x^2-x^4+x^7+3*x^8) / ((1-x)^2*(1+x)).
(End)

cp's OEIS Frontend

A276704 Records in A249859.

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