A351025 a(n) is the rank of the US English name of n when all its letters are written in all possible orders and arranged in alphabetic order.

20, 6, 4, 57, 2, 10, 3, 41, 13, 10, 5, 29, 232, 8446, 6466, 574, 1618, 5422, 1594, 780, 193, 32916, 16414, 851577, 1190618, 597346, 106029, 1153421, 2552293, 114778, 181, 127176, 26974, 592647, 568178, 592306, 50589, 6762941, 1191493, 330598, 1, 3696, 94

Offset

0,1

Comments

For terms beyond a(100), this sequence uses the US English style, "one hundred one" (not "one hundred and one"), and the short scale (a billion = 10^9, not 10^12).

Links

Table of n, a(n) for n=0..42.

Example

The word ONE comes sixth when all its letters are written in all possible orders and arranged in alphabetic order: ENO, EON, NEO, NOE, OEN, ONE. So a(1) = 6.
The word TWO comes fourth when all its letters are written in all possible orders and arranged in alphabetic order: OTW, OWT, TOW, TWO, WOT, WTO. So a(2) = 4.

Crossrefs

Cf. A005589.

Sequence in context: A040385 A161997 A274458 * A327131 A076594 A174991

Adjacent sequences: A351022 A351023 A351024 * A351026 A351027 A351028

Keyword

nonn,word

Author

Mohammed Yaseen, Jan 29 2022

Status

approved