Differences between the position of odd numbers in the terms of the central hexanomial coefficients.
1, 2, 4, 4, 4, 4, 4, 4, 4, 8, 8, 4, 4, 4, 4, 16, 12, 4, 8, 8, 4, 4, 4, 4, 28, 4, 20, 4, 4, 4, 16, 12, 4, 8, 8, 4, 4, 4, 4, 52, 4, 4, 4, 40, 8, 4, 4, 4, 4, 28, 4, 20, 4, 4, 4, 16, 12, 4, 8, 8, 4, 4, 4, 4, 104, 8, 4, 4, 4, 4, 80, 12, 4, 8, 8, 4, 4, 4, 4, 52, 4, 4, 4
1
That is, first differences of the sequence S000978.
T. D. Noe, Plot of 714 terms
T. D. Noe, Table of 714 terms
(Mma) prod = 1; t = Table[prod = Expand[prod*Sum[x^k, {k, 0, 5}]]; Max[CoefficientList[prod, x]], {n, 2^8}]; t = Join[{1}, t]; t2 = Flatten[Position[t, _?(OddQ[#] &)] ] - 1; Differences[t2]
Cf. A018901, S000977, S000978.
nonn,nice
T. D. Noe, Mar 08 2017