id:A133625 - OEIS Search Results

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Binomial(n+p, n) mod n where p=5.

+0
32

0, 1, 2, 2, 2, 0, 1, 7, 4, 3, 1, 8, 1, 8, 9, 13, 1, 7, 1, 10, 8, 12, 1, 3, 6, 1, 10, 8, 1, 2, 1, 25, 12, 1, 8, 22, 1, 20, 14, 39, 1, 15, 1, 12, 25, 24, 1, 5, 1, 11, 18, 14, 1, 46, 12, 43, 20, 1, 1, 48, 1, 32, 22, 49, 14, 23, 1, 18, 24, 50, 1, 7, 1, 1, 41, 20, 1, 66, 1, 77, 28, 1, 1, 50, 18, 44 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`Let d(m)...d(2)d(1)d(0) be the base-n representation of n+p. The relation a(n)=d(1) holds, if n is a prime index. For this reason there are infinitely many terms which are equal to 1.`
	FORMULA	`a(n)=binomial(n+5,5) mod n.` `a(n)=1 if n is a prime > 5, since binomial(n+5,n)==(1+floor(5/n))(mod n), provided n is a prime.`
	CROSSREFS	`Cf. A000040, A133620-A133625, A133630, A133633-A133636.` `Cf. A133875, A133885, A133880, A133890, A133900, A133910.` `Adjacent sequences: A133622 A133623 A133624 this_sequence A133626 A133627 A133628` `Sequence in context: A020943 A056557 A082900 this_sequence A028930 A112792 A138319`
	KEYWORD	`nonn`
	AUTHOR	`Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Sep 30 2007`

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.

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