A060403 Each term is the previous term plus the number of letters in the previous number, as conventionally spelled out in American English.

1, 4, 8, 13, 21, 30, 36, 45, 54, 63, 73, 85, 95, 105, 119, 137, 158, 178, 200, 210, 223, 244, 263, 283, 304, 320, 338, 361, 381, 402, 416, 434, 455, 475, 497, 519, 538, 560, 576, 597, 619, 637, 658, 678, 700, 712, 730, 748, 770, 789, 811, 829, 851, 871, 893

Offset: 1

Author

Kevin Langdon (kevin.langdon(AT)polymath-systems.com), Apr 05 2001

Keywords

• nonn
• word
• easy

Comments

Increases more slowly than A160395 since American English does not use 'and' to separate hundreds from the rest of the number. E.g., 619 = "six hundred nineteen" in American English but "six hundred and nineteen" in British English. - Carl R. White, May 12 2009

Examples

			a(2)=4 because a(1)=1 and 4 is 1 plus the number of letters in "one," 3.
		

References

• GCHQ, The GCHQ Puzzle Book, Penguin, 2016. See pages 49 and 214.

Links

• Michael De Vlieger, Table of n, a(n) for n = 1..10001

Crossrefs

Cf. A005589 See A139097 for another version.

For British English see A160395. - Carl R. White, May 12 2009

Programs

Mathematica

NestList[#+Length[Select[Characters[IntegerName[#,"Words"]],LetterQ ]]&,1,54] (* James C. McMahon, Jul 30 2024 *)

Extensions

More terms from Carl R. White, May 12 2009