A192574 a(n) = Sum_{k=0..n} binomial(n,k)*floor(sqrt(Bell(k)))*floor(sqrt(Bell(n-k))).

1, 2, 4, 10, 28, 84, 282, 968, 3574, 13526, 53248, 215288, 889072, 3749808, 16120368, 70569136, 314384296, 1424490556, 6561255338, 30706715780, 145947430208, 704170163362, 3447329246534, 17116783509170, 86161074446406, 439511863198824, 2271055875812692

Offset

0,2

Links

Table of n, a(n) for n=0..26.

Mathematica

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

Prog

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

Crossrefs

Cf. A192570, A192571, A192572, A192573.

Sequence in context: A262543 A348197 A289709 * A135336 A149825 A149826

Adjacent sequences: A192571 A192572 A192573 * A192575 A192576 A192577

Keyword

nonn

Author

Emanuele Munarini, Jul 04 2011

Status

approved