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A327707 The minimal size of a partition lambda of n such that every partition of n with at most 7 parts can be obtained by coalescing the parts of lambda. 4
1, 2, 3, 4, 5, 6, 7, 7, 8, 8, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..76.

Bo Jones and John Gunnar Carlsson, Minimum size generating partitions and their application to demand fulfillment optimization problems, arXiv:1909.09363 [math.CO], 2019.

FORMULA

Let L(n,k) be the analogous quantity if 7 is changed to k. Then L(n,k) = 1 + L(floor(n*(k-1)/k), k) with L(0,k) = 0.

CROSSREFS

Cf. A327704 (k=4), A327705 (k=5), A327706 (k=6), A327708 (k=8), A327709 (k=9), A327710 (k=10).

Sequence in context: A209384 A060207 A195932 * A134679 A100721 A271490

Adjacent sequences:  A327704 A327705 A327706 * A327708 A327711 A327712

KEYWORD

nonn

AUTHOR

Bo Jones, Oct 31 2019

STATUS

approved

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Last modified January 22 19:16 EST 2020. Contains 331153 sequences. (Running on oeis4.)