A figurate number of the form 
. The first few are 1, 10, 27, 52, 85, ... (Sloane's A001107). The generating function giving the decagonal numbers is
. The first few are 1, 10, 27, 52, 85, ... (Sloane's A001107). The generating function giving the decagonal numbers is |
The first few odd decagonal numbers are 1, 27, 85, 175, 297, ... (Sloane's A028993), and the first few even decagonal numbers are 10, 52, 126, 232, 370, 540, ... (Sloane's A028994).
Ref: mathworld.wolfram.com
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