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Search: id:A006484
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| A006484 |
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n*(n+1)*(n^2 - 3*n + 5)/6.
(Formerly M2839)
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+0
7
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| 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)
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OFFSET
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0,3
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COMMENT
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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.
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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.
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LINKS
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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.
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FORMULA
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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.
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MAPLE
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A006484:=-(1-2*z+5*z**2)/(z-1)**5; [Conjectured by S. Plouffe in his 1992 dissertation.]
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MATHEMATICA
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lst={}; Do[AppendTo[lst, n*(n+1)*(n^2-3*n+5)/6], {n, 0, 4!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 19 2008]
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CROSSREFS
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Cf. other meta sequences: A100177: prism; A000447: "polar" diamond; A059722: "equatorial diamond"; A100185: anti-prism; A100188: "polar" anti-diamond; and A100189: "equatorial" anti-diamond. Cf. A100145 for more on structured numbers.
Sequence in context: A147062 A146384 A166174 this_sequence A144007 A026960 A026990
Adjacent sequences: A006481 A006482 A006483 this_sequence A006485 A006486 A006487
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KEYWORD
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nonn
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AUTHOR
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Dennis S. Kluk (mathemagician(AT)ameritech.net)
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