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A336770 Total sum of the left-to-right minima in all compositions of n into distinct parts. 4
0, 1, 2, 7, 9, 18, 39, 54, 83, 133, 268, 337, 542, 754, 1148, 2058, 2689, 3909, 5607, 7945, 10965, 19024, 23838, 34840, 47332, 67121, 89006, 125571, 194513, 250634, 349001, 473018, 644107, 860595, 1164018, 1532321, 2327654, 2923772, 4022746, 5290310, 7188111 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

EXAMPLE

a(6) = 39 = 1+1+3+3+4+6+2+6+1+6+6: (1)23, (1)32, (2)(1)3, (2)3(1), (3)(1)2, (3)(2)(1), (2)4, (4)(2), (1)5, (5)(1), (6).

MAPLE

b:= proc(n, i, k) option remember; `if`(i<k or n>

      (2*i-k+1)*k/2, 0, `if`(n=0, [1, 0], b(n, i-1, k)+

      (p-> p+[0, p[1]*i/k])(b(n-i, min(n-i, i-1), k-1))))

    end:

a:= n-> add(b(n$2, k)[2]*k!, k=1..floor((sqrt(8*n+1)-1)/2)):

seq(a(n), n=0..40);

CROSSREFS

Cf. A000009, A000254, A003056, A032020, A336512, A336718, A336771.

Sequence in context: A079326 A055673 A177737 * A293645 A293646 A020895

Adjacent sequences:  A336767 A336768 A336769 * A336771 A336772 A336773

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Aug 04 2020

STATUS

approved

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Last modified September 27 00:14 EDT 2020. Contains 337378 sequences. (Running on oeis4.)