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 A027191 Number of partitions of n into an odd number of parts, the least being 5; also, a(n+5) = number of partitions of n into an even number of parts, each >=5. 2
 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 7, 7, 9, 10, 13, 14, 18, 20, 25, 28, 35, 39, 48, 54, 65, 74, 89, 100, 119, 135, 160, 181, 213, 241, 282, 320, 372, 422, 490, 554, 641 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,17 LINKS FORMULA a(n) = A026798(n) - A027197(n). - Jean-François Alcover, Feb 06 2020 MATHEMATICA b[n_, i_, t_] := b[n, i, t] = If[n == 0, t, If[i > n, 0, b[n, i + 1, t] + b[n - i, i, 1 - t]]]; a027197[n_] := If[n < 5, 0, b[n - 5, 5, 0]]; a026798[n_] := SeriesCoefficient[x^5/QPochhammer[x^5, x], {x, 0, n}]; a[n_] := a026798[n] - a027197[n]; a /@ Range[55] (* Jean-François Alcover, Feb 06 2020, after Alois P. Heinz in A027197. CROSSREFS Cf. A026798, A027197. Sequence in context: A026801 A185328 A210718 * A122522 A227614 A236473 Adjacent sequences:  A027188 A027189 A027190 * A027192 A027193 A027194 KEYWORD nonn AUTHOR STATUS approved

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Last modified June 24 06:16 EDT 2021. Contains 345416 sequences. (Running on oeis4.)