A192571 - OEIS

A192571

a(n) = sum(floor(sqrt(Bell(k))),k=0..n).

1, 2, 3, 5, 8, 15, 29, 58, 122, 267, 607, 1430, 3482, 8739, 22555, 59743, 162115, 449977, 1275856, 3690963, 10882913, 32674420, 99806496, 309930282, 977731801, 3131470488, 10176415237, 33537002728, 112026106459

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..28.

MATHEMATICA

Table[Sum[Floor[Sqrt[BellB[k]]], {k, 0, n}], {n, 0, 100}]

Accumulate[Floor[Sqrt[BellB[Range[0, 30]]]]] (* Harvey P. Dale, May 03 2024 *)

PROG

(Maxima) makelist(sum(floor(sqrt(belln(k))), k, 0, n), n, 0, 28);

CROSSREFS

Cf. A000110, A192570.

Sequence in context: A130476 A096592 A305370 * A215525 A192645 A050295

Adjacent sequences: A192568 A192569 A192570 * A192572 A192573 A192574

KEYWORD

nonn

AUTHOR

Emanuele Munarini, Jul 04 2011

STATUS

approved