login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A097148 Total sum of maximum block sizes in all partitions of n-set. 5
1, 3, 10, 35, 136, 577, 2682, 13435, 72310, 414761, 2524666, 16239115, 109976478, 781672543, 5814797281, 45155050875, 365223239372, 3070422740989, 26780417126048, 241927307839731, 2260138776632752, 21805163768404127 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Let M be the infinite lower triangular matrix given by A080510 and v the column vector [1,2,3,...] then M*v=A097148 (this sequence, as column vector). - Gary W. Adamson, Feb 24 2011

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..250

FORMULA

E.g.f.: Sum_{k>=0} (exp(exp(x)-1)-exp(Sum_{j=1..k} x^j/j!)).

MATHEMATICA

Drop[ Range[0, 22]! CoefficientList[ Series[ Sum[E^(E^x - 1) - E^Sum[x^j/j!, {j, 1, k}], {k, 0, 22}], {x, 0, 22}], x], 1] (* Robert G. Wilson v, Aug 05 2004 *)

CROSSREFS

Cf. A028417, A028418, A046746, A006128, A097145-A097147.

Cf. A080510.

Column k=1 of A319375.

Sequence in context: A008984 A151048 A149038 * A149039 A151477 A184175

Adjacent sequences:  A097145 A097146 A097147 * A097149 A097150 A097151

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic, Jul 27 2004

EXTENSIONS

More terms from Robert G. Wilson v, Aug 05 2004

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 26 21:58 EST 2020. Contains 332295 sequences. (Running on oeis4.)