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A204573 A204519(n)^2 = floor(A055851(n)/6): Squares which written in base 6, with some digit appended, yield another square. 0
0, 0, 0, 1, 4, 16, 121, 400, 1600, 11881, 39204, 156816, 1164241, 3841600, 15366400, 114083761, 376437604, 1505750416, 11179044361, 36887043600, 147548174400, 1095432263641, 3614553835204, 14458215340816, 107341182792481, 354189388806400, 1416757555225600 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Base-6 analog of A202303.

LINKS

Table of n, a(n) for n=1..27.

FORMULA

Conjecture: a(n) = 99*a(n-3)-99*a(n-6)+a(n-9) for n>10. - Colin Barker, Sep 20 2014

Empirical g.f.: -x^4*(x^6+16*x^5+4*x^4+22*x^3+16*x^2+4*x+1) / ((x-1)*(x^2+x+1)*(x^6-98*x^3+1)). - Colin Barker, Sep 20 2014

PROG

(PARI) b=6; for(n=0, 1e7, issquare(n^2\b) & print1(n^2\b, ", "))

CROSSREFS

See also A031149=sqrt(A023110) (base 10), A204502=sqrt(A204503) (base 9), A204514=sqrt(A055872) (base 8), A204516=sqrt(A055859) (base 7), A204518=sqrt(A055851) (base 6), A204520=sqrt(A055812) (base 5), A004275=sqrt(A055808) (base 4), A001075=sqrt(A055793) (base 3), A001541=sqrt(A055792) (base 2).

Sequence in context: A337040 A339200 A087335 * A306561 A226102 A094356

Adjacent sequences:  A204570 A204571 A204572 * A204574 A204575 A204576

KEYWORD

nonn,base

AUTHOR

M. F. Hasler, Jan 16 2012

STATUS

approved

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Last modified September 25 17:35 EDT 2022. Contains 356986 sequences. (Running on oeis4.)