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A261659 a(n) = sqrt(A261655(n)/144) for n>1. 1
1, 3, 5, 35, 33, 144, 80, 137, 285, 363, 387, 351, 204, 935, 225, 241, 289, 665, 1210, 310, 710, 324, 327, 685, 945, 749, 805, 479, 2091, 1260, 1169, 628, 2156, 654, 2355, 1827, 1545, 2181, 1499, 761, 3126, 1575, 2364, 1770, 1452, 1455, 2827, 1739, 3390, 4641 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

COMMENTS

The primes of the sequence are 3, 5, 137, 241, 479, 761, 1499, ...

The squares of the sequence are 1, 144, 225, 289, 324, ...

LINKS

Table of n, a(n) for n=2..51.

EXAMPLE

a(3)=3 because sqrt(A261655(3)/144) = sqrt(1296/144) = sqrt(9)=3.

MAPLE

q:=83:for n from 2 to 10^7 do:p:=n^2+2:if isprime(p) then x:=p-q:q:=p: z:=sqrt(x):if z=floor(z) then printf(`%d, `, x/144):else fi:fi:od:

CROSSREFS

Cf. A261655: squares equal to the difference between two successive primes of the form k^2+2.

Sequence in context: A221158 A068111 A162444 * A259853 A052468 A055786

Adjacent sequences:  A261656 A261657 A261658 * A261660 A261661 A261662

KEYWORD

nonn

AUTHOR

Michel Lagneau, Aug 28 2015

STATUS

approved

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Last modified January 20 14:40 EST 2019. Contains 319333 sequences. (Running on oeis4.)