|
Search: id:A101102
|
|
| |
|
| 1, 13, 82, 354, 1200, 3432, 8646, 19734, 41613, 82225, 153868, 274924, 472056, 782952, 1259700, 1972884, 3016497, 4513773, 6624046, 9550750, 13550680, 18944640, 26129610, 35592570, 47926125, 63846081, 84211128, 110044792
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
LINKS
|
C. Rossiter, Depictions, Explorations and Formulas of the Euler/Pascal Cube.
|
|
FORMULA
|
a(n) = {(n*(1 + n)*(2 + n)*(3 + n)*(4 + n)*(5 + n)*(10 + 3*n*(5 + n)))/20160}.
This sequence could be obtained from the general formula a(n)=n*(n+1)*(n+2)*(n+3)* ...* (n+k) *(n*(n+k) + (k-1)*k/6)/((k+3)!/6) at k=5 - Alexander R. Povolotsky (pevnev(AT)juno.com), May 17 2008
|
|
PROGRAM
|
(PARI) a(n)=sum(t=1, n, sum(s=1, t, sum(l=1, s, sum(j=1, l, sum(m=1, j, sum(i=m*(m+1)/2-m+1, m*(m+1)/2, (2*i-1))))))) - Alexander R. Povolotsky (pevnev(AT)juno.com), May 17 2008
|
|
CROSSREFS
|
Cf. A101097.
Cf. A101097, A101094, A024166, A000537.
Sequence in context: A133718 A052255 A082203 this_sequence A142085 A010025 A001848
Adjacent sequences: A101099 A101100 A101101 this_sequence A101103 A101104 A101105
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Cecilia Rossiter (cecilia(AT)noticingnumbers.net), Dec 15 2004
|
|
EXTENSIONS
|
Edited by Ralf Stephan, Dec 16 2004
|
|
|
Search completed in 0.002 seconds
|
