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Smallest nonnegative integer whose standard American English name has n vowels.
3

%I #9 Jun 20 2013 05:09:10

%S 2,0,11,14,102,101,111,114,1014,1102,1101,1111,1014,11114,14114,

%T 101111,101114,111114,114114

%N Smallest nonnegative integer whose standard American English name has n vowels.

%C a(n) = the least k such that V(k) = n, where V(n) = the number of vowels in the standard English name of a nonnegative integer. V(n) begins (with offset 0): 2,2,1,2,2,2,1,2,2,2,1,3... Extended by _Ray Chandler_.

%e a(1) = 2 [twO], where "two" is the smallest integer with 1 vowel.

%e a(2) = 0 [zErO], where "zero" is the smallest integer with 2 vowels.

%e a(3) = 11 [ElEvEn]

%e a(4) = 14 [fOUrtEEn]

%e a(5) = 102 [OnE hUndrEd twO]

%e a(6) = 101 [OnE hUndrEd OnE]

%e a(7) = 111 [OnE hUndrEd ElEvEn]

%e a(8) = 114 [OnE hUndrEd fOUrtEEn]

%e a(9) = 1014 [OnE thOUsAnd fOUrtEEn]

%e a(10) = 1102 [OnE thOUsAnd OnE hUndrEd twO]

%e a(11) = 1101 [OnE thOUsAnd OnE hUndrEd OnE]

%e a(12) = 1111 [OnE thOUsAnd OnE hUndrEd ElEvEn]

%e a(13) = 1014 [OnE thOUsAnd fOUrtEEn]

%e a(14) = 11114 [ElEvEn thOUsAnd OnE hUndrEd fOUrtEEn]

%e a(15) = 14114 [fOUrtEEn thOUsAnd OnE hUndrEd fOUrtEEn]

%e a(16) = 101111 [OnE hUndrEd OnE thOUsAnd OnE hUndrEd ElEvEn]

%e a(17) = 101114 [OnE hUndrEd OnE thOUsAnd OnE hUndrEd fOUrtEEn]

%e a(18) = 111114 [OnE hUndrEd ElEvEn thOUsAnd OnE hUndrEd fOUrtEEn]

%e a(19) = 114114 [OnE hUndrEd fOUrtEEn thOUsAnd OnE hUndrEd fOUrtEEn]

%K easy,nonn,word

%O 1,1

%A _Jonathan Vos Post_, Mar 01 2005