A038247 Triangle whose (i,j)-th entry is binomial(i,j)*5^(i-j)*5^j.
1, 5, 5, 25, 50, 25, 125, 375, 375, 125, 625, 2500, 3750, 2500, 625, 3125, 15625, 31250, 31250, 15625, 3125, 15625, 93750, 234375, 312500, 234375, 93750, 15625, 78125, 546875, 1640625, 2734375, 2734375, 1640625, 546875, 78125
Offset: 0
References
- B. N. Cyvin et al., Isomer enumeration of unbranched catacondensed polygonal systems with pentagons and heptagons, Match, No. 34 (Oct 1996), pp. 109-121.
Programs
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Mathematica
Table[Binomial[i,j]5^(i-j) 5^j,{i,0,10},{j,0,i}]//Flatten (* Harvey P. Dale, May 01 2022 *)