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 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
 1, 2, 4, 16, 134 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Is a(5) = 134 the last such term? Indices of zeros in A226911; and conjectured finite, full based on an observation there. - Michael S. Branicky, Apr 07 2023 If a(6) exists, it is > 10^7. - Robert G. Wilson v, Apr 22 2023 LINKS Table of n, a(n) for n=1..5. 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 Cf. A092320, A126259, A073327, A226911. Sequence in context: A217994 A174677 A073924 * A061588 A202360 A050472 Adjacent sequences: A362062 A362063 A362064 * A362066 A362067 A362068 KEYWORD base,nonn,more,word AUTHOR Eric Angelini and Mensanator, Apr 07 2023 STATUS approved

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Last modified August 12 08:23 EDT 2024. Contains 375085 sequences. (Running on oeis4.)