A051455 (Terms in A029623)/2.
1, 1, 4, 1, 1, 7, 13, 12, 1, 20, 25, 1, 10, 45, 24, 1, 1, 13, 50, 112, 161, 154, 98, 40, 1, 63, 162, 273, 315, 252, 138, 1, 16, 225, 435, 588, 567, 390, 60, 1, 660, 1023, 1155, 957, 1, 19, 111, 396, 1683, 2178, 2112, 825, 319, 84, 1, 130, 507, 3861, 4290, 1144, 403, 1
Offset: 0
Examples
1; 1; 4,1; 1; 7,13,12,1; 20,25,1; 10,45,24,1; 1; 13,50,112,161,154,98,40,1; 63,162,273,315,252,138,1; 16,225,435,588,567,390,60,1; 660,1023,1155,957,1;
Programs
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Maple
for n from 0 to 12 do for k from 0 to n do a := A029618(n,k) ; if type(a,'even') then printf("%d,",a/2) ; end if; end do: printf("\n") ; end do: # R. J. Mathar, Jul 08 2015