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A049650
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Compositorial numbers (A036691) + 1.
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2
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2, 5, 25, 193, 1729, 17281, 207361, 2903041, 43545601, 696729601, 12541132801, 250822656001, 5267275776001, 115880067072001, 2781121609728001, 69528040243200001, 1807729046323200001, 48808684250726400001, 1366643159020339200001
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history;
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internal format)
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OFFSET
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0,1
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COMMENTS
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This is to Euclid numbers (A006862): 1 + product of first n consecutive primes, as nonprimes (A018252) are to primes (A000040). These numbers - 1, times the appropriate Euclid numbers - 1, are the factorials. Primes in this sequence include a(1) = 2, a(2) = 5, a(4) = 193, a(8) = 2903041, a(12) = 250822656001, a(17) = 1807729046323200001. - Jonathan Vos Post, Jun 07 2008
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LINKS
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Table of n, a(n) for n=0..18.
Hisanori Mishima, Factorizations of many number sequences
Hisanori Mishima, Factorizations of many number sequences
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FORMULA
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a(n) = 1 + PRODUCT[i=1..n] A018252(i) = 1 + PRODUCT[j=1..n] (j=1 or j>1 and j is not in A000040}. - Jonathan Vos Post, Jun 07 2008
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CROSSREFS
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Cf. A036691, A060880, A006862, A036691.
Sequence in context: A080626 A015957 A074417 * A191506 A139007 A015486
Adjacent sequences: A049647 A049648 A049649 * A049651 A049652 A049653
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane, May 05 2001
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STATUS
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approved
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