A278057 Relative of Hofstadter Q-sequence: a(n) = n for 1 <= n <= 5; a(n) = a(n-a(n-1)) + a(n-a(n-2)) for n > 5.

1, 2, 3, 4, 5, 3, 6, 7, 5, 8, 6, 7, 9, 11, 7, 10, 14, 11, 12, 12, 10, 15, 16, 12, 14, 18, 14, 19, 15, 13, 21, 18, 14, 22, 19, 25, 18, 21, 21, 24, 26, 21, 29, 23, 25, 26, 25, 31, 23, 26, 33, 30, 28, 30, 28, 37, 27, 31, 37, 31, 25, 39

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, A278058, A278059, A278060, A278061, A278062, A278063, A278064, A278065.

Sequence in context: A212644 A351285 A341673 * A366876 A330750 A346099

Adjacent sequences: A278054 A278055 A278056 * A278058 A278059 A278060

Keyword

nonn

Author

Nathan Fox, Nov 10 2016

Status

approved