id:A114061 - OEIS Search Results

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Numbers n such that n = (product of digits of n) * (sum of digits of n) in some base.

+0
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0, 1, 6, 12, 16, 20, 30, 42, 48, 54, 56, 72, 90, 96, 110, 128, 132, 135, 144, 156, 160, 162, 176, 182, 210, 231, 240, 250, 272, 300, 306, 324, 336, 342, 380, 384, 420, 432, 448, 455, 462, 480, 495, 504, 506, 540, 552, 576, 600, 624, 650, 663, 686, 702, 720, 750 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`This sequence is infinite since b^2+b is in the sequence for all b>1: in base b, b^2+b has digits {1,b} and (1b)(1+b)=b^2+b.`
	LINKS	`Matthew M. Conroy, Home Page (Listed instead of email address.)`
	EXAMPLE	`12 is in the sequence since in base 9, 12 has digits {1,3} and (13)(1+3)=12.`
	CROSSREFS	`Cf. A038369.` `Sequence in context: A092455 A118422 A106504 this_sequence A063089 A050896 A108233` `Adjacent sequences: A114058 A114059 A114060 this_sequence A114062 A114063 A114064`
	KEYWORD	`base,nonn`
	AUTHOR	`Matthew Conroy (list1(AT)madandmoonly.com), Feb 02 2006`

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.

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