id:A131511 - OEIS Search Results

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All possible products of prime and Fibonacci numbers.

+0
1

0, 2, 3, 4, 5, 6, 7, 9, 10, 11, 13, 14, 15, 16, 17, 19, 21, 22, 23, 24, 25, 26, 29, 31, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 46, 47, 51, 53, 55, 56, 57, 58, 59, 61, 62, 63, 65, 67, 68, 69, 71, 73, 74, 79, 82, 83, 85, 86, 87, 88, 89, 91, 93, 94, 95, 97, 101, 102, 103, 104, 105 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`This sequence contains all prime numbers as a subsequence because 1 is a Fibonacci number. Similarly it contains all even semiprimes.`
	EXAMPLE	`8 is not in this sequence because the only way to represent 8 as a product of a prime and some number is 24 and 4 is not a Fibonacci number.` `105 is in this sequence because 105 = 321 and 3 is a prime number and 21 is a Fibonacci number.`
	MATHEMATICA	`Take[Union[Flatten[Table[Fibonacci[n]*Prime[k], {n, 70}, {k, 70}]]], 70]`
	CROSSREFS	`Cf. A132147, A049997, A001358.` `Sequence in context: A136416 A072497 A039217 this_sequence A166155 A063538 A167207` `Adjacent sequences: A131508 A131509 A131510 this_sequence A131512 A131513 A131514`
	KEYWORD	`nonn`
	AUTHOR	`Tanya Khovanova (tanyakh(AT)yahoo.com), Aug 14 2007`

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.

AT&T Labs Research