The smallest pronic (A002378) that contains the digits of n in its exact middle.

Terms

a(0) =0a(1) =110a(2) =2a(3) =132a(4) =240a(5) =156a(6) =6a(7) =272a(8) =182a(9) =992a(10) =141000a(11) =5112a(12) =12a(13) =221370a(14) =7140a(15) =241572a(16) =2162a(17) =141752a(18) =111890a(19) =1190a(20) =20a(21) =122150a(22) =192282a(23) =222312a(24) =152490a(25) =2256a(26) =1260a(27) =102720a(28) =122850a(29) =4290