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A023110 Squares which remain squares when the last digit is removed. 27
0, 1, 4, 9, 16, 49, 169, 256, 361, 1444, 3249, 18496, 64009, 237169, 364816, 519841, 2079364, 4678569, 26666896, 92294449, 341991049, 526060096, 749609641, 2998438564, 6746486769, 38453641216, 133088524969, 493150849009, 758578289296, 1080936581761 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

REFERENCES

R. K. Guy, Neg and Reg, preprint, Jan 2012.

LINKS

Robert G. Wilson v, Table of n, a(n) for n = 1..40

FORMULA

Appears to satisfy a(n)=1444a(n-7)+a(n-14)-76*sqrt(a(n-7)*a(n-14)) which would require a(-k) to look like 16, 49, 169, 256, 3249, 1444, 361, 18496, ... for k>0. - Henry Bottomley (se16(AT)btinternet.com), May 08 2001

MATHEMATICA

fQ[n_] := IntegerQ@ Sqrt@ Quotient[n^2, 10]; Select[ Range@ 1000000, fQ]^2 (* Robert G. Wilson v, Jan 15 2011 *)

PROG

(PARI) for(n=0, 1e7, issquare(n^2\10) & print1(n^2", "))

CROSSREFS

Cf. A053784, A031149, A055792, A055793, A055808, A055812, A055851, A055859, A055872.

Sequence in context: A059931 A027382 A164840 * A073723 A161493 A030075

Adjacent sequences:  A023107 A023108 A023109 * A023111 A023112 A023113

KEYWORD

nonn,base

AUTHOR

David W. Wilson (davidwwilson(AT)comcast.net)

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Last modified February 15 12:25 EST 2012. Contains 205786 sequences.