login
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, 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
1,13
EXAMPLE
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.
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 *)
CROSSREFS
Sequence in context: A324939 A057335 A126907 * A323114 A362231 A118563
KEYWORD
nonn
AUTHOR
J. Stauduhar, Sep 28 2017
STATUS
approved