A298467 - OEIS

A298467

Smallest positive integer that can be expressed as the sum of consecutive positive squares in exactly n ways.

1, 25, 20449, 554503705

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OFFSET

1,2

COMMENTS

a(5) > 10^9. - Rémy Sigrist, Jan 19 2018

a(5) > 10^15. - Michael S. Branicky, Feb 18 2023

LINKS

Table of n, a(n) for n=1..4.

FORMULA

a(n) <= A234311(n).

EXAMPLE

a(2) = 25 because 3^2 + 4^2 = 5^2 = 25,

a(3) = 20449 because 7^2 + 8^2 + ... + 39^2 = 38^2 + 39^2 + ... + 48^2 = 143^2 = 20449.

a(4) = 554503705 because 480^2 + 481^2 + ... + 1210^2 = 3570^2 + 3571^2 + ... + 3612^2 = 3613^2 + 3614^2 + ... + 3654^2 = 7442^2 + 7443^2 ... + 7451^2 = 554503705. - Rémy Sigrist, Jan 19 2018

CROSSREFS

Cf. A038547, A111044, A130052, A234304, A234311.

Sequence in context: A195682 A082211 A053766 * A203543 A337727 A034711

Adjacent sequences: A298464 A298465 A298466 * A298468 A298469 A298470

KEYWORD

nonn,more

AUTHOR

Seiichi Manyama, Jan 19 2018

EXTENSIONS

a(4) from Rémy Sigrist, Jan 19 2018

STATUS

approved