

A362065


Write the English name of a(n); sum the ranks of its letters in the alphabet; divide the sum by a(n); the result is an integer.


3




OFFSET

1,2


COMMENTS

Is a(5) = 134 the last such term?


LINKS



EXAMPLE

a(1) = 1 = ONE and O+N+E = 34 and 34/1 = 34;
a(2) = 2 = TWO and T+W+O = 58 and 58/2 = 29;
a(3) = 4 = FOUR and F+O+U+R = 60 and 60/4 = 15;
a(4) = 16 = SIXTEEN and S+I+X+T+E+E+N = 96 and 96/16 = 6; etc.


MATHEMATICA

Position[Array[Mod[Total@ Flatten[ToCharacterCode[#]  96 & /@ Characters@ StringDelete[IntegerName[#], Except@ LetterCharacter]], #] &, 10^4] , 0][[All, 1]] (* Michael De Vlieger, Apr 07 2023 *)


CROSSREFS



KEYWORD

base,nonn,more,word


AUTHOR



STATUS

approved



