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A254896 Octagonal numbers (A000567) that are also centered square numbers (A001844). 3
1, 481, 8321, 4617761, 79897441, 44339739841, 767175219361, 425750177334721, 7366416376406081, 4088053158428250401, 70732329279075969601, 39253486001477883014881, 679171818371271083701921, 376911968498137474280636161, 6521407729268615666629875041 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Colin Barker, Table of n, a(n) for n = 1..503

Index entries for linear recurrences with constant coefficients, signature (1,9602,-9602,-1,1).

FORMULA

a(n) = a(n-1)+9602*a(n-2)-9602*a(n-3)-a(n-4)+a(n-5).

G.f.: -x*(x^4+480*x^3-1762*x^2+480*x+1) / ((x-1)*(x^2-98*x+1)*(x^2+98*x+1)).

EXAMPLE

481 is in the sequence because it is the 13th octagonal number and the 16th centered square number.

MATHEMATICA

LinearRecurrence[{1, 9602, -9602, -1, 1}, {1, 481, 8321, 4617761, 79897441}, 30] (* Harvey P. Dale, Feb 04 2017 *)

PROG

(PARI) Vec(-x*(x^4+480*x^3-1762*x^2+480*x+1)/((x-1)*(x^2-98*x+1)*(x^2+98*x+1)) + O(x^100))

CROSSREFS

Cf. A000567, A001844, A253673, A254895.

Sequence in context: A051980 A020271 A290338 * A165384 A165376 A214170

Adjacent sequences:  A254893 A254894 A254895 * A254897 A254898 A254899

KEYWORD

nonn,easy

AUTHOR

Colin Barker, Feb 10 2015

STATUS

approved

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Last modified August 11 12:12 EDT 2022. Contains 356065 sequences. (Running on oeis4.)