The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A104400 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A104400

Sums of 10 distinct positive pentatope numbers (A000332).
(history; published version)

#21 by Alois P. Heinz at Mon Dec 14 05:54:24 EST 2015

STATUS

reviewed

approved

#20 by Michel Marcus at Mon Dec 14 05:53:52 EST 2015

STATUS

proposed

reviewed

#19 by Alois P. Heinz at Mon Dec 14 05:52:01 EST 2015

STATUS

editing

proposed

Discussion

Mon Dec 14

05:53

Michel Marcus: My bad.

#18 by Alois P. Heinz at Mon Dec 14 05:51:31 EST 2015

COMMENTS

Pentatope number Ptop(n) = binomial(n,+3,4) = n*(n+1)*(n+2)*(n+3)/24.

FORMULA

a(n) = Ptop(b) + Ptop(c) + Ptop(d) + Ptop(e) + Ptop(f) + Ptop(g) + Ptop(h) + Ptop(i) + Ptop(j) + Ptop(k) for some positive b=/=c=/=d=/=e=/=f=/=g=/=h=/=i=/=j=/=k and Ptop(n) = binomial coefficient binomial(n, +3,4).

STATUS

approved

editing

Discussion

Mon Dec 14

05:51

Alois P. Heinz: see last link.

#17 by Bruno Berselli at Mon Dec 14 04:06:18 EST 2015

STATUS

proposed

approved

#16 by Jon E. Schoenfield at Mon Dec 14 02:17:35 EST 2015

STATUS

editing

proposed

#15 by Jon E. Schoenfield at Mon Dec 14 02:17:32 EST 2015

COMMENTS

Hyun Kwang Kim asserts that every positive integer can be represented as the sum of no more than 8 pentatope numbers; , but in this sequence we are only concerned with sums of nonzero distinct pentatope numbers.

STATUS

proposed

editing

#14 by Michel Marcus at Mon Dec 14 02:16:13 EST 2015

STATUS

editing

proposed

#13 by Michel Marcus at Mon Dec 14 02:15:39 EST 2015

COMMENTS

Pentatope number Ptop(n) = binomial(n,4) = n*(n+1)*(n+2)*(n+3)/24.

Pentatope number Ptop(n) = binomial coefficient binomial(n,4) = n*(n+1)*(n+2)*(n+3)/24. Hyun Kwang Kim asserts that every positive integer can be represented as the sum of no more than 8 pentatope numbers; but in this sequence we are only concerned with sums of nonzero distinct pentatope numbers.

STATUS

proposed

editing

#12 by Robert Israel at Mon Dec 14 02:12:26 EST 2015

STATUS

editing

proposed