A216163 Nonnegative integers whose English number-words have the identical number of letters contributing to each represented letter-frequency.

0, 1, 2, 4, 5, 6, 8, 10, 19, 21, 40, 44, 46, 59, 60, 61, 64, 80, 84, 140, 152, 166, 251, 405, 468, 504, 661, 864, 1556, 1566, 1655, 1665, 2456, 2466, 2654, 2664, 2686, 4256, 4266, 4652, 4662, 4700, 5000, 5156, 5166, 5651, 5661, 6015, 6155, 6165, 6254, 6264, 6286, 6452, 6462, 6551, 6561, 6682, 7400, 8813, 13808, 15006, 30100, 40400

Offset: 1

Author

Hans Havermann, Sep 02 2012

Keywords

• nonn
• word

Comments

Sequence members may be classified by type: {f1, f2, f3, ... fn}, representing the number of letters occurring {once, twice, thrice, ... n times}. The smallest representative of some distinct types are...

0 {4}

1 {3}

8 {5}

19 {2,0,2}

21 {3,3}

46 {8}

64 {9}

80 {6}

84 {10}

140 {5,5}

152 {6,6}

468 {7,7}

1556 {5,5,5}

4700 {4,4,4}

5000 {12}

8813 {3,3,3,0,3}

100300 {2,2,2,2,2}

114144 {3,0,3,0,3,3}

124486 {4,4,0,4,4}

131256 {3,3,3,3,3}

202214 {3,0,3,3,3}

250386 {4,4,4,0,4}

334468 {3,3,3,0,3,3}

1000013 {3,3,3}

1030460 {4,4,4,4}

4000414 {3,3,3,3}

7000000 {4,4}

13131434 {3,3,0,0,3,3,3}

21445566 {3,3,3,3,3,3}

24425526 {3,3,3,3,3,0,3}

121236636 {2,2,2,2,2,2,2,2}

131154477 {2,2,2,2,2,2,2,0,0,2}

132244566 {3,3,3,0,3,3,3}

134000589 {3,3,3,3,0,3}

Examples

			19 is in the sequence because two letters contribute to each of the two letter-frequencies of "nineteen": I & T to frequency 1, E & N to frequency 3. 5000 is in the sequence because twelve letters contribute to the only letter-frequency (1) of "five thousand". 3000000000000000013000019000000 is in the sequence because one letter contributes to each of the nine letter-frequencies of "three nonillion thirteen trillion nineteen million": M to frequency 1, H to 2, R to 3, O to 4, T to 5, L to 6, E to 7, I to 8, N to 9.
		

Links

• Eric Harshbarger, Favorite Number
• Hans Havermann, wordthreepeating

Crossrefs

Cf. A059916 (a small subset)