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

0,2

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.

Links

Table of n, a(n) for n=0..18.

Formula

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

Example

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.

Sequence in context: A338711 A024013 A067981 * A263759 A162254 A138617

Adjacent sequences: A174455 A174456 A174457 * A174459 A174460 A174461

Keyword

easy,nonn

Author

Jonathan Vos Post, Mar 20 2010

Status

approved