A262017 -id:A262017 - cp's OEIS frontend

A262018 The first of five consecutive positive integers the sum of the squares of which is equal to the sum of the squares of eleven consecutive positive integers.

28, 5308, 945148, 168231388, 29944242268, 5329906892668, 948693482652988, 168862110005339548, 30056506887467786908, 5349889363859260730428, 952250250260060942229628, 169495194656926988456143708, 30169192398682743884251350748, 5369946751770871484408284289788

Offset: 1

Colin Barker, Sep 08 2015

For the first of the corresponding eleven consecutive positive integers, see A262019.

			28 is in the sequence because 28^2 + ... + 32^2 = 4510 = 15^2 + ... + 25^2.

Colin Barker, Table of n, a(n) for n = 1..444
Index entries for linear recurrences with constant coefficients, signature (179,-179,1).

Cf. A157096, A262017, A262019.

LinearRecurrence[{179,-179,1},{28,5308,945148},30] (* Harvey P. Dale, May 16 2019 *)

Vec(-4*x*(7*x^2+74*x+7)/((x-1)*(x^2-178*x+1)) + O(x^20))

a(n) = 179*a(n-1)-179*a(n-2)+a(n-3) for n>3.

G.f.: -4*x*(7*x^2+74*x+7) / ((x-1)*(x^2-178*x+1)).

A262019 The first of eleven consecutive positive integers the sum of the squares of which is equal to the sum of the squares of five consecutive positive integers.

Original entry on oeis.org

15, 3575, 637215, 113421575, 20188404015, 3593422493975, 639609015524415, 113846811340852775, 20264092809656270415, 3606894673307475281975, 642006987755920943922015, 114273636925880620542837575, 20340065365818994535681167215, 3620417361478855146730704927575

Offset: 1

Colin Barker, Sep 08 2015

For the first of the corresponding five consecutive positive integers, see A262018.

			15 is in the sequence because 15^2 + ... + 25^2 = 4510 = 28^2 + ... + 32^2.

Colin Barker, Table of n, a(n) for n = 1..444
Index entries for linear recurrences with constant coefficients, signature (179,-179,1).

Cf. A157096, A262017, A262018.

Vec(5*x*(5*x^2-178*x-3)/((x-1)*(x^2-178*x+1)) + O(x^20))

a(n) = 179*a(n-1)-179*a(n-2)+a(n-3) for n>3.

G.f.: 5*x*(5*x^2-178*x-3) / ((x-1)*(x^2-178*x+1)).

cp's OEIS Frontend

A262018 The first of five consecutive positive integers the sum of the squares of which is equal to the sum of the squares of eleven consecutive positive integers.

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