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A137878 Perfect squares among 17-gonal numbers A051869(n) = n(15n -13)/2. 4
1, 17689, 378225, 4109707449, 87870152041, 954775454112481, 20414169462254569, 221815343046210267025, 4742660677722035990769, 51532584126226886201833161, 1101824413949324675985344641, 11972153009151467313136073526409, 255978051492792346696545201859225 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Corresponding square roots sqrt(a(n)) are listed in A137879.

Indices of perfect squares among the 17-gonal numbers A051869(n) = n(15n - 13)/2 are listed in A137880. Note that all such indices are also perfect squares, their square roots are listed in A137881(n) = sqrt(A137880(n)).

LINKS

Colin Barker, Table of n, a(n) for n = 1..350

Index entries for linear recurrences with constant coefficients, signature (1,232322,-232322,-1,1).

FORMULA

a(n) = A137879(n)^2 = A051869( A137880(n) ) = A051869( A137881(n)^2 ).

From Colin Barker, Jun 19 2016: (Start)

a(n) = a(n-1)+232322*a(n-2)-232322*a(n-3)-a(n-4)+a(n-5) for n>5.

G.f.: x*(1+17688*x+128214*x^2+17688*x^3+x^4) / ((1-x)*(1-482*x+x^2)*(1+482*x+x^2)).

(End)

PROG

(PARI) Vec(x*(1+17688*x+128214*x^2+17688*x^3+x^4)/((1-x)*(1-482*x+x^2)*(1+482*x+x^2)) + O(x^20)) \\ Colin Barker, Jun 19 2016

CROSSREFS

Cf. A051869 (17-gonal numbers), A137879, A137880, A137881.

Sequence in context: A036377 A237080 A035923 * A165598 A187641 A252624

Adjacent sequences:  A137875 A137876 A137877 * A137879 A137880 A137881

KEYWORD

nonn,easy

AUTHOR

Alexander Adamchuk, Feb 19 2008

EXTENSIONS

Edited and extended by Max Alekseyev, Oct 19 2008

STATUS

approved

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Last modified July 18 19:00 EDT 2019. Contains 325144 sequences. (Running on oeis4.)