This site is supported by donations to The OEIS Foundation.

The OEIS is looking to hire part-time people to help edit core sequences, upload scanned documents, process citations, fix broken links, etc. - Neil Sloane, njasloane@gmail.com

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A109391 (n^(n+1))*(n+1)/2 (A000217(n)*A000312(n)). 2
 0, 1, 12, 162, 2560, 46875, 979776, 23059204, 603979776, 17433922005, 550000000000, 18830570260326, 695455834963968, 27561634699895023, 1166760716683591680, 52547266845703125000, 2508757194024499019776 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS The sum of all the terms of all A000312(n) sequences having exactly n terms all chosen from {1,2,...,n}. Partial sums are A109392. LINKS FORMULA a(n) = (n^(n+1))*(n+1)/2. EXAMPLE a(2) = (2^(2+1))*(2+1)/2 = 8*3/2 = 12. Note that the 2^2 sequences 1,1; 1,2; 2,1; 2,2 have 1+1+1+2+2+1+2+2=12 as the sum of all their terms (Each element of {1,...,n} occurs n^(n-1) times in each of the n positions of the n^n sequences and (1+...+n)*n*n^(n-1) = A000217(n)*A000312(n)). CROSSREFS Cf. A000217 (triangular numbers), A000312 (n^n: endofunctions), A109392 (partial sums). Sequence in context: A048609 A048603 A275040 * A138455 A024221 A093152 Adjacent sequences:  A109388 A109389 A109390 * A109392 A109393 A109394 KEYWORD nonn AUTHOR Rick L. Shepherd, Jun 26 2005 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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.