A219553 -id:A219553 - cp's OEIS frontend

A219552 First differences of A219303.

6, 1, 3, 5, 5, 11, 12, 2, 12, 18, 56, 33, 2, 20, 3, 1, 28, 66, 26, 7, 10, 20, 3, 30, 105, 20, 5, 5, 7, 28, 15, 39, 26, 29, 41, 1, 6, 2, 31, 13, 5, 19, 45, 2, 15, 11, 5, 1, 71, 9, 35, 20, 13, 2, 36, 1, 15, 12, 17, 20, 14, 45, 4, 27, 12, 38, 30, 3, 25, 7, 24

Offset: 1

Carl R. White, Nov 22 2012

nonn

Conjecture: 1 appears infinitely often in this sequence (indicating an infinite number of pairs of consecutive integers in the parent sequence).

Observation: Values tend to average around 20 for early terms, though some evidence suggests this average falls slightly much later. It is not clear how the overall average value behaves approaching the limit at infinity.

Carl R. White, Table of n, a(n) for n = 1..10000

Cf. A219303, A219553.

A219962 Records in A219961.

Original entry on oeis.org

314, 335, 337, 535, 539, 615, 666

Offset: 1

Carl R. White, Dec 02 2012

The first member of this sequence is currently (Dec 02 2012) one greater than the largest member yet found of cousin sequence A219553. Therein the value of 313 required significant time to determine. This is almost surely a coincidence, though it would be very interesting if it were not.

666 found at x = 72231492 under the iteration of A219960. No more entries up to x = 100400000

Cf. A219960, A219961, A219553.

More terms from Carl R. White, Dec 05 2012

cp's OEIS Frontend

A219552 First differences of A219303.

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