A174458 Partial sums of A053519.

1, 4, 19, 48, 645, 5346, 9989, 423680, 4936673, 22863284, 717864203, 10398234146, 14778845999, 2318706892436, 41349958502663, 67290481692176, 1273710986008283, 21639017114636720, 1870679510063123381

Offset: 0

Author

Jonathan Vos Post, Mar 20 2010

Keywords

• easy
• nonn

Comments

Partial sums of denominators of successive convergents to continued fraction 1+2/(3+3/(4+4/(5+5/(6+6/(7+7/(8+8/(9+9/10+...))))))). The subsequence of primes in this partial sum begins: 19, 1273710986008283.

Examples

			a(16) = 1 + 3 + 15 + 29 + 597 + 4701 + 4643 + 413691 + 4512993 + 17926611 + 695000919 + 9680369943 + 4380611853 + 2303928046437 + 39031251610227 + 25940523189513 + 1206420504316107 = 1273710986008283 is prime.
		

Crossrefs

Cf. A053519, A053518, A053520, A053556, A053557.

Formula

a(n) = SUM[i=0..n] A053519(i).