A215693 English flagpole sequence (see comments)

1, 7, 3, 6, 5, 11, 8, 9, 2, 13, 4, 10, 12, 16, 15, 26, 14, 18, 17, 19, 20, 111, 21, 25, 22, 23, 24, 28, 38, 30, 27, 29, 31, 37, 33, 32, 42, 34, 35, 36, 39, 40, 41, 43, 45, 47, 44, 46, 54, 48, 49, 51, 57, 50, 52, 53, 112, 55, 58, 56, 59, 60, 61, 63, 65, 67, 64, 62, 74, 66, 68, 69, 70, 71, 72, 73, 75, 76, 77, 78, 79, 86, 84, 81, 94, 83, 80, 82, 85, 87, 88, 89, 98, 93, 90, 91, 92, 95, 96, 97, 105, 99, 100, 102, 101, 103, 104, 106, 108, 107, 109, 110, 113

Offset

1,2

Comments

a(1) = 1, fp = "one"; a(2) = smallest number not yet used whose English number-word contains letter #2 of fp (= 7, seveN), fp = "oneseven"; a(3) = smallest number not yet used whose English number-word contains letter #3 of fp (= 3, thrEe), fp = "oneseventhree"; etc. Number-word spaces, hyphens, commas, and the conjunctive 'and' are ignored.

Links

Table of n, a(n) for n=1..113.

Eric Angelini, Flagpole

E. Angelini, Flagpole [Cached copy, with permission]

Hans Havermann, Flagpole sections (number-word terms up to 1050000)

Example

Term #30419 of our sequence is 30419. The positions of the appended "thirtythousandfourhundrednineteen" in fp are letters #999990 to #1000022. Letters #1000000 - #1000004 of fp are S, A, N, D, F. At 999999, all numbers up to 999999 (and no numbers beyond) have been used. Therefore a(1000000) - a(1000004) are 1000006 (one million Six), 1001000 (one million one thousAnd), 1000000 (oNe million), 1000100 (one million one hunDred), and 1000004 (one million Four).

Crossrefs

Sequence in context: A073016 A238695 A019819 * A197028 A257819 A182111

Adjacent sequences: A215690 A215691 A215692 * A215694 A215695 A215696

Keyword

nonn,word

Author

Eric Angelini, Hans Havermann, Aug 27 2012

Status

approved