A278062 Relative of Hofstadter Q-sequence: a(n) = n for 1 <= n <= 10; a(n) = a(n-a(n-1)) + a(n-a(n-2)) for n > 10.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 3, 11, 12, 5, 13, 6, 7, 14, 16, 10, 8, 16, 20, 12, 17, 14, 22, 11, 21, 25, 16, 13, 17, 15, 24, 19, 26, 27, 23, 19, 30, 31, 23, 20, 33, 26, 13, 40, 28, 26, 37, 27, 20, 37, 38, 30, 38, 21, 35, 40, 22, 35, 41, 41, 24

Offset

1,2

Comments

Similar to Hofstadter's Q-sequence A005185 but with different starting values.

Much like the Hofstadter Q-sequence, it is not known if this sequence is defined for all positive n.

a(n) exists for n <= 3*10^7.

Links

Nathan Fox, Table of n, a(n) for n = 1..10000

N. Fox, Hofstadter-like Sequences over Nonstandard Integers, Talk given at the Rutgers Experimental Mathematics Seminar, November 10 2016.

Crossrefs

Cf. A005185, A278056, A278057, A278058, A278059, A278060, A278061, A278063, A278064, A278065.

Sequence in context: A325721 A079050 A320109 * A254597 A064698 A320117

Adjacent sequences: A278059 A278060 A278061 * A278063 A278064 A278065

Keyword

nonn

Author

Nathan Fox, Nov 10 2016

Status

approved