Centered heptagonal number
- Centered heptagonal number
A centered heptagonal number is a centered figurate number that represents a heptagon with a dot in the center and all other dots surrounding the center dot in successive heptagonal layers. The centered heptagonal number for "n" is given by the formula
:.
This can also be calculated by multiplying the triangular number for ("n" - 1) by 7, then adding 1.
The first few centered heptagonal numbers are
1, 8, 22, 43, 71, 106, 148, 197, 253, 316, 386, 463, 547, 638, 736, 841, 953 OEIS|id=A069099
Centered heptagonal numbers alternate parity in the pattern odd-even-even-odd.
Centered heptagonal prime
A centered heptagonal prime is a centered heptagonal number that is prime. The first few centered heptagonal primes are
43, 71, 197, 463, 547, 953, 1471, 1933, ....
ee also
*Regular heptagonal number.
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