A163596 Smallest cube that contains the decimal digits of n in its exact middle.

0, 1, 125, 24389, 343, 17576, 10648, 29791, 8, 21952, 54010152, 941192, 12812904, 551368, 531441, 89915392, 88716536, 571787, 421875, 2197, 512000, 262144, 1668222856, 20123648, 13824000, 15625000, 9261, 27, 34328125, 61629875, 343000

Offset

0,3

Comments

"Exact" middle means that the counts of digits to the left and to the right of the digits of n in the cube are the same.

Links

Table of n, a(n) for n=0..30.

Example

The elements a(15) to a(18) are 899//15//392 = 448^3, 887//16//536 = 446^3, 57//17//87 = 83^3 and 42//18//75 = 75^3, where double slashes show the position of the digits of n.

Maple

A163596 := proc(n) ndi := convert(n, base, 10) ; lenndi := nops(ndi) ; for c from 0 do cdi := convert(c^3, base, 10) ; lencdi := (nops(cdi)-lenndi)/2 ; if lencdi >=0 and type(lencdi, 'integer') then if op(1+lencdi..lencdi+lenndi, cdi) = op(ndi) then RETURN(c^3) ; fi; fi; od: end:
for n from 1 to 30 do printf("%d, ", A163596(n)) ; od: # R. J. Mathar, Aug 01 2009

Crossrefs

Sequence in context: A067491 A036532 A086704 * A194654 A222277 A013783

Adjacent sequences: A163593 A163594 A163595 * A163597 A163598 A163599

Keyword

nonn,base

Author

Claudio Meller, Aug 01 2009

Extensions

Extended by R. J. Mathar, Aug 01 2009

Status

approved