

A058230


Numbers k such that the product of the lengths of the words in the name of k in American English is equal to k.


1




OFFSET

1,1


COMMENTS

This sequence uses American English spellings; e.g., 84672 ends in "six hundred seventytwo", not "six hundred and seventytwo" (cf. A006944). Also, for purposes of this sequence, hyphens are treated as spaces, so "seventytwo" is counted as two words ("seventy two").  Jon E. Schoenfield, Nov 18 2018
a(10) > 10^138 if it exists.  Jonathan Pappas, Mar 12 2021


LINKS

Table of n, a(n) for n=1..9.
Jonathan Pappas, Python program


EXAMPLE

84672 = "eighty four thousand six hundred seventy two" = 6*4*8*3*7*7*3 = 84672.


MATHEMATICA

Select[Range[10^5], Times@@StringLength/@StringSplit[StringReplace[#~IntegerName~"Words", {", ">"", "">" "}]]==#&] (* Giorgos Kalogeropoulos, Mar 20 2021 *)


PROG

(Python)
# See Python program link.
# Jonathan Pappas, Mar 12 2021


CROSSREFS

Sequence in context: A077093 A077092 A092435 * A162187 A103644 A185070
Adjacent sequences: A058227 A058228 A058229 * A058231 A058232 A058233


KEYWORD

dumb,nonn,word


AUTHOR

Michael Kleber, Dec 01 2000


EXTENSIONS

a(7)a(9) from Jonathan Pappas, Mar 12 2021


STATUS

approved



