|
Search: id:A006484
|
|
|
| A006484 |
|
n*(n+1)*(n^2 - 3*n + 5)/6.
(Formerly M2839)
|
|
+0
7
|
|
| 0, 1, 3, 10, 30, 75, 161, 308, 540, 885, 1375, 2046, 2938, 4095, 5565, 7400, 9656, 12393, 15675, 19570, 24150, 29491, 35673, 42780, 50900, 60125, 70551, 82278, 95410, 110055, 126325, 144336, 164208, 186065, 210035, 236250, 264846, 295963, 329745, 366340
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
Structured meta-pyramidal numbers, the n-th number from an n-gonal pyramidal number sequence. - James A. Record (james.record(AT)gmail.com). Nov. 7, 2004.
|
|
REFERENCES
|
S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
|
|
LINKS
|
S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
|
|
FORMULA
|
a(n)=(1/6)*(n^4-2*n^3+2*n^2+5*n) - James A. Record (james.record(AT)gmail.com). Nov. 7, 2004.
|
|
MAPLE
|
A006484:=-(1-2*z+5*z**2)/(z-1)**5; [Conjectured by S. Plouffe in his 1992 dissertation.]
|
|
CROSSREFS
|
Cf. other meta sequences: A100177 - prism; A000447 - "polar" diamond; A100181 - "equatorial diamond"; A100185 - anti-prism; A100188 - "polar" anti-diamond; and A100189 - "equatorial" anti-diamond. Cf. A100145 for more on structured numbers.
Sequence in context: A048493 A096140 A052976 this_sequence A026960 A026990 A027256
Adjacent sequences: A006481 A006482 A006483 this_sequence A006485 A006486 A006487
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Dennis S. Kluk (mathemagician(AT)ameritech.net)
|
|
|
Search completed in 0.002 seconds
|
