45371

Appears in sequences

• Numerators of continued fraction convergents to sqrt(157).at n=11A041288
• Denominators of continued fraction convergents to sqrt(537).at n=13A042027
• Minimal (positive) solution a(n) of Pell equation a(n)^2 - D(n)*b(n)^2 = +4 with D(n)= A077425(n). The companion sequence is b(n)=A078355(n).at n=33A077428
• a(0)=1. a(n) = a(n-1)*(n+1), if n is in the sequence. a(n)= a(n-1) +1, if n is missing from the sequence.at n=20A118471
• Expansion of Product_{k>=1} (1 - x^(8*k))/(1 - x^k).at n=43A261775
• Starts of a record number of consecutive integers n such that n^2 + 1 is composite.at n=10A293564
• The number of partitions of n in which at least one part is a multiple of 3.at n=42A295341
• Starts of strictly increasing runs of 0's in Mertens's function A002321.at n=4A319520
• Main diagonal of A332367, divided by 4.at n=31A332368