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Records in A249859.
1

%I #7 Sep 20 2016 13:35:26

%S 3,5,6,21,45,77,117,165,221,285,357,437,525,621,725,837,957,1085,1221,

%T 1365,1517,1677,1845,2021,2205,2397,2597,2805,3021,3245,3477,3717,

%U 3965,4221,4485,4757,5037,5325,5621,5925,6237,6557,6885,7221,7565,7917,8277

%N Records in A249859.

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

%F Conjectures: (Start)

%F a(n) = 4*n^2-12*n+5 for n>3.

%F a(n) = 3*a(n-1)-3*a(n-2)+a(n-3) for n>6.

%F G.f.: x*(3-4*x+15*x^3-5*x^4-x^5) / (1-x)^3.

%F (End)

%Y Cf. A249859, A276705.

%K nonn

%O 1,1

%A _Colin Barker_, Sep 15 2016