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A262017

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

61, 1381, 30361, 666601, 14634901, 321301261, 7053992881, 154866542161, 3400009934701, 74645352021301, 1638797734533961, 35978904807725881, 789897108035435461, 17341757471971854301, 380728767275345359201, 8358691122585626048161, 183510475929608427700381

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OFFSET

1,1

COMMENTS

For the first of the corresponding six consecutive positive integers, see A157096.

LINKS

Colin Barker, Table of n, a(n) for n = 1..744

Index entries for linear recurrences with constant coefficients, signature (23,-23,1).

FORMULA

a(n) = 23*a(n-1)-23*a(n-2)+a(n-3) for n>3.

G.f.: -x*(x^2-22*x+61) / ((x-1)*(x^2-22*x+1)).

EXAMPLE