The On-Line Encyclopedia of Integer Sequences (OEIS)

A347754 revision #11

A347754

a(n) = sqrt(A347594(n-1)^2 + n^2 + A347594(n)).

2, 3, 4, 8, 14, 28, 21, 33, 65, 50, 97, 73, 14, 30, 32, 22, 18, 32, 31, 32, 53, 68, 50, 43, 55, 100, 112, 154, 135, 226, 449, 832, 640, 194, 382, 302, 509, 665, 1213, 905, 213, 43, 57, 113, 49, 99, 126, 217, 269, 269, 173, 116, 153, 161, 212, 309, 540, 1057, 863, 1690, 3157, 2593, 1343, 1401, 1506, 1797, 2829, 1170, 87

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OFFSET

1,1

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = floor(sqrt(A347594(n-1)^2 + n^2)) + 1.

MATHEMATICA

b[0]=1; b[m_]:=b[m]=(k=1; While[!IntegerQ@Sqrt[b[m-1]^2+m^2+k], k++]; k);

a[n_]:=a[n]=Sqrt[b[n-1]^2+n^2+b[n]]; Array[a, 100] (* Giorgos Kalogeropoulos, Sep 12 2021 *)

PROG

(Ruby)