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A001722 Generalized Stirling numbers.
(Formerly M5061 N2191)
+0
1
1, 18, 251, 3325, 44524, 617624, 8969148, 136954044, 2201931576, 37272482280, 663644774880, 12413008539360, 243533741849280, 5003753991174720, 107497490419296000, 2410964056571616000, 56366432074677312000 (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

a(n)=sum((-1)^(n+k)*binomial(k+2, 2)*5^k*stirling1(n+2, k+2), k=0..n). - Borislav Crstici (bcrstici(AT)etv.utt.ro), Jan 26 2004

CROSSREFS

Sequence in context: A110395 A016183 A016239 this_sequence A060788 A020528 A088924

Adjacent sequences: A001719 A001720 A001721 this_sequence A001723 A001724 A001725

KEYWORD

nonn

AUTHOR

njas

EXTENSIONS

More terms from Borislav Crstici (bcrstici(AT)etv.utt.ro), Jan 26 2004

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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