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A022905 a(n) = M(n) + m(n) for n >= 2, where M(n) = max{ a(i) + a(n-i): i = 1..n-1 }, m(n) = min{ a(i) + a(n-i): i = 1..n-1 }. 3
1, 4, 10, 19, 34, 55, 85, 124, 178, 247, 337, 448, 589, 760, 970, 1219, 1522, 1879, 2305, 2800, 3385, 4060, 4846, 5743, 6781, 7960, 9310, 10831, 12562, 14503, 16693, 19132, 21874, 24919, 28321, 32080, 36265, 40876, 45982, 51583, 57769 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

J. M. Dover, On two OEIS conjectures, arXiv:1606.08033 [math.CO], 2016.

FORMULA

n + sum(k=2, n, A022907(n)).

a(n+1) = 1+3*Sum_{k=1..n} A033485(k). - Philippe Deléham, Jun 17 2010

a(n) = a(n-1) + 1 + a(floor(n/2)) + a(ceiling(n/2))) for n>1, a(1) = 1. - Alois P. Heinz, Sep 17 2013

MAPLE

a:= proc(n) option remember; `if`(n=1, 1,

      a(n-1)+1+a(floor(n/2))+a(ceil(n/2)))

    end:

seq(a(n), n=1..100);  # Alois P. Heinz, Sep 17 2013

MATHEMATICA

a[n_] := a[n] = If[n==1, 1, a[n-1]+1+a[Floor[n/2]]+a[Ceiling[n/2]]]; Array[a, 100] (* Jean-François Alcover, Aug 07 2017, after Alois P. Heinz *)

CROSSREFS

Cf. A022907, A022908.

Sequence in context: A301182 A301194 A015616 * A155368 A301155 A301215

Adjacent sequences:  A022902 A022903 A022904 * A022906 A022907 A022908

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified December 2 08:31 EST 2021. Contains 349437 sequences. (Running on oeis4.)