id:A066567 - OEIS Search Results

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Numbers which when incremented by the product of their digits produce a square.

+0
1

2, 8, 13, 63, 91, 100, 128, 185, 215, 221, 337, 400, 448, 456, 549, 551, 559, 681, 900, 1024, 1089, 1151, 1185, 1215, 1221, 1327, 1348, 1437, 1600, 1651, 1897, 2025, 2112, 2191, 2196, 2209, 2293, 2304, 2392, 2401, 2448, 2500, 2539, 2544, 2551, 2596, 2601 (list; graph; listen)

	OFFSET	`0,1`
	EXAMPLE	`63 belongs to this sequence as 63 + 6*3 =81=9^2.`
	MATHEMATICA	`f[n_] := n + Apply[ Times, IntegerDigits[n]]; Select[ Range[ 2500], IntegerQ[ Sqrt[ f[ # ]]] & ]`
	CROSSREFS	`Cf. A066564.` `Sequence in context: A095825 A106359 A077241 this_sequence A002248 A050619 A056715` `Adjacent sequences: A066564 A066565 A066566 this_sequence A066568 A066569 A066570`
	KEYWORD	`base,nonn`
	AUTHOR	`Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Dec 18 2001`
	EXTENSIONS	`More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 22 2001`

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.

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