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A115429 Numbers n such that the concatenation of n with n+8 gives a square. 25
6001, 6433, 11085116, 44496481, 96040393, 115916930617, 227007035017, 274101929528, 434985419768, 749978863753, 996004003993, 1365379857457948, 1410590590957816, 1762388551055953, 2307340946901148, 2700383162251217 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Also numbers n such that n concatenated with n+7 gives the product of two numbers which differ by 2.

Also numbers n such that n concatenated with n+4 gives the product of two numbers which differ by 4.

Also numbers n such that n concatenated with n-1 gives the product of two numbers which differ by 6.

Also numbers n such that n concatenated with n-8 gives the product of two numbers which differ by 8.

LINKS

Table of n, a(n) for n=1..16.

EXAMPLE

6001//6009 = 7747^2, where // denotes concatenation.

96040393//96040400 = 98000200 * 98000202.

96040393//96040397 = 98000199 * 98000203.

96040393//96040392 = 98000198 * 98000204.

CROSSREFS

Cf. A030465, A102567, A115426, A115437, A115428, A115430, A115431, A115432, A115433, A115434, A115435, A115436, A115440.

Cf. A116107, A116109, A116113, A116239.

Cf. A116205, A115430, A116335, A116185, A116187, A116317.

Cf. A116131, A116112, A116152, A116159, A116282.

Sequence in context: A171351 A068132 A250514 * A046395 A143043 A031605

Adjacent sequences:  A115426 A115427 A115428 * A115430 A115431 A115432

KEYWORD

base,nonn

AUTHOR

Giovanni Resta, Jan 24 2006

EXTENSIONS

Edited by N. J. A. Sloane, Apr 15 2007

STATUS

approved

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Last modified December 1 05:58 EST 2020. Contains 338833 sequences. (Running on oeis4.)