id:A155895 - OEIS Search Results

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Least positive integer such that a(n)! starts with n, both written in base 5.

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1, 2, 17, 4, 6, 3, 29, 7, 10, 19, 31, 8, 18, 14, 37, 61, 81, 17, 33, 11, 63, 94, 9, 4, 13, 24, 16, 6, 27, 22, 52, 152, 28, 21, 143, 45, 35, 29, 67, 7, 62, 15, 247, 181, 193, 10, 105, 48, 12, 97, 19, 167, 36, 72, 146, 75, 31, 391, 69, 40, 186, 486, 133, 8, 57, 46, 18, 103, 115 (list; graph; listen)

	OFFSET	`1,2`
	EXAMPLE	`a(3) = 17 since 17! is the least factorial to start with digit "3" when written in base 5. a(5) = 6 since 5 = 10[5] (i.e. written in base 5) and 6! = 720 = 625 + 75 + 20 = 10340[5] is the smallest factorial to start with digits "10" when written in base 5.`
	PROGRAM	`(PARI) A155895(n)={ local( F=1, k=1 ); while( F\1!=n, F*=k++; while( F>=n+1, F/=5)); k}`
	CROSSREFS	`Cf. A155891--A155894, A018799, A076219.` `Sequence in context: A108883 A162623 A165234 this_sequence A144212 A057280 A055677` `Adjacent sequences: A155892 A155893 A155894 this_sequence A155896 A155897 A155898`
	KEYWORD	`base,nonn`
	AUTHOR	`M. F. Hasler (Maximilian.Hasler(AT)gmail.com), Feb 01 2009`

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.

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