1, 4, 10, 19, 31,

What is next please 1 4 10 19 31 46, 1 (+3) = 4 4 (+6) = 10 10 (+9) = 19 19 (+ 12) = 31 31 = 46. Adding a number that increases three  What is next in this series 1, 4, 10, 19, 31?.
The centered polygonal numbers are a class of series of figurate numbers, each formed by a centered triangular numbers 1, 4, 10, 19, 31, (sequence in the OEIS); centered square numbers (OEIS centered pentagonal  ‎ Examples · ‎ Centered square numbers · ‎ Formula · ‎ References.
1, 4, 10, 19, 31, _". A fairly simple question once again, the answer is x*3 where x is the position in the series, so 1 + 1 * 3 = 4 + 2 * 3 = 10 + 3 *.

Contestants: 1, 4, 10, 19, 31,

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