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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A177453 Partial sums of A001863. 1
 0, 1, 5, 31, 267, 3027, 42599, 715191, 13942995, 309522515, 7707841015, 212783127799, 6449579387715, 212939326904131, 7606688596589431, 292321288041079671, 12025358303201356019, 527265684696785414387 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Partial sums of normalized total height of rooted trees with n nodes. The subsequence of primes in the partial sums begins: 5, 31, no more through a(15). LINKS FORMULA a(n) = Sum_{i=1..n} A001863(i). EXAMPLE a(5) = 0 + 1 + 4 + 26 + 236 = 267 = 3 * 89. MAPLE A001863 := proc(n) if n = 1 then 0; else add( (n-2)!*n^k/k!, k=0..n-2) ; end if; end proc: A177453 := proc(n) add(A001863(i), i=0..n) ; end proc: seq(A177453(n), n=1..20) ; # R. J. Mathar, May 28 2010 MATHEMATICA Accumulate[Table[Sum[(n-2)! n^k/k!, {k, 0, n-2}], {n, 20}]] (* Harvey P. Dale, Jun 19 2016 *) CROSSREFS Cf. A000435, A001864, A001863. Sequence in context: A294215 A294216 A058892 * A346405 A259787 A273601 Adjacent sequences:  A177450 A177451 A177452 * A177454 A177455 A177456 KEYWORD nonn AUTHOR Jonathan Vos Post, May 09 2010 EXTENSIONS Extended by R. J. Mathar, May 28 2010 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.

Last modified July 28 17:00 EDT 2021. Contains 346335 sequences. (Running on oeis4.)