What is the next number in this sequence and why ? 3, 7, 10, 11, 12?

[jacquisharpe_1972]

I saw this question in a magazine last week and wondered if anyone knew the answer.

What is the next number in the sequence, and why ?

3, 7, 10, 11, 12

Thanks

[sofarsogood]

17, numbers whose English names contain only the vowel 'e'. (I wish I found this myself, but had to google to find it.)

[SAMUEL D]

15

- - - - - - -s

[safrodin]

3, 7, 10, 11, 12,15,19

because the pattern is

+4 +3 +1 + 1 +3 +4

[gjmb1960]

http://www.research.att.com/~njas/sequences/?q=3%2C+7%2C+10%2C+11%2C+12&language=english