A292994 Number of integers m, 1 <= m <= A002569(n), that are not terms in the triangle T(n,k) of A008284.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 6, 8, 12, 19, 26, 39, 52, 71, 92, 120, 161, 205, 258, 320, 398, 499, 613, 754, 911, 1103, 1340, 1622, 1956, 2338, 2789, 3303, 3938, 4690, 5547, 6551, 7690, 9018, 10584, 12425, 14559, 16989, 19790, 22970, 26615

Offset: 1

Author

J. Stauduhar, Sep 28 2017

Keywords

• nonn

Examples

			With n = 10, the maximum value of m is 9 and all values of m from 1 to 9 appear within the first 10 rows of A008284, so a(10) = 0.
With n = 13, the maximum value of m is 18 and all values of m from 1 to 18, except 16 and 17, appear within the first 13 rows of A008284, so a(13) = 2.
		

Crossrefs

Cf. A008284, A002569.

Programs

Mathematica

FoldList[{#1, Count[Range@ Max@ #2, k_ /; FreeQ[#1, k]]} & @@ {Append[#1, #2], #2} & @@ {First@ #1, Table[SeriesCoefficient[1/QPochhammer[a q, q], {q, 0, #2}, {a, 0, k}], {k, #2}]} &, {{{1}}, 0}, Range[2, 40]][[All, -1]] (* Michael De Vlieger, Sep 29 2017, after Vladimir Reshetnikov at A008284 *)