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A001713 Generalized Stirling numbers.
(Formerly M5060 N2190)
+0
2
1, 18, 245, 3135, 40369, 537628, 7494416, 109911300, 1698920916, 27679825272, 474957547272, 8572072384512, 162478082312064, 3229079010579072, 67177961946534528, 1460629706845766400, 33139181950164806400 (list; graph; listen)
OFFSET

0,2

REFERENCES

Mitrinovic, D. S.; Mitrinovic, R. S.; Tableaux d'une classe de nombres relies aux nombres de Stirling. Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No. 77 1962, 77 pp.

FORMULA

E.g.f.: (ln(1-x)/(x-1))^3/6. - Vladeta Jovovic (vladeta(AT)Eunet.yu), May 05 2003

a(n)=sum((-1)^(n+k)*binomial(k+3, 3)*3^k*stirling1(n+3, k+3), k=0..n). - Borislav Crstici (bcrstici(AT)etv.utt.ro), Jan 26 2004

CROSSREFS

Cf. A000254, A001706, A001719.

Sequence in context: A016186 A081203 A016294 this_sequence A110395 A016183 A016239

Adjacent sequences: A001710 A001711 A001712 this_sequence A001714 A001715 A001716

KEYWORD

nonn

AUTHOR

njas

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), May 05 2003

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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