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A055792 a(n) and floor[a(n)/2] are both squares; i.e. squares which remain squares when written in base 2 and last digit is removed. 26
0, 1, 9, 289, 9801, 332929, 11309769, 384199201, 13051463049, 443365544449, 15061377048201, 511643454094369, 17380816062160329, 590436102659356801, 20057446674355970889, 681362750825443653409, 23146276081390728245001 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

FORMULA

a(n) = 34a(n-1)-a(n-2)-16 = A001541(n-1)^2 = 2*A001542(n-1)^2+1 = 8*A001110(n-1)+1

EXAMPLE

a(2) = 9 because 9 = 3^2 = 1001 base 2 and 100 base 2 = 4 = 2^2

CROSSREFS

Cf. A023110.

Sequence in context: A110553 A078326 A118893 * A053935 A086699 A027834

Adjacent sequences:  A055789 A055790 A055791 * A055793 A055794 A055795

KEYWORD

base,nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Jul 14 2000

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Last modified February 16 14:07 EST 2012. Contains 205930 sequences.