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A171385 Sum of a positive square and a positive cube in at least three ways. 0
1025, 1737, 2089, 2628, 2817, 3033, 3664, 4481, 4825, 4977, 5841, 7057, 7785, 7948, 8225, 8289, 8900, 10025, 11025, 11665, 12393, 14049, 14400, 14724, 15193, 15345, 15641, 15689, 15884, 16649, 16857, 18201, 18369, 19225, 19664, 19908, 20224 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Four or more representations have 1025, 19225, 27289, 29025, 39329, 48025, 54225, 65537, 65600, 79129, 92025, 93241, 105192, 105633, 111681, ... - R. J. Mathar, Dec 11 2009

LINKS

Table of n, a(n) for n=1..37.

EXAMPLE

1025 = 32^2 + 1^3, 31^2 + 4^3, 30^2 + 5^3, and 5^2 + 10^3;

1737 = 35^2 + 8^3, 3^2 + 12^3, and 39^2 + 6^3.

MAPLE

isA171385 := proc(n) a := 0 ; for c from 1 do if c^3 >= n then break; else if issqr(n-c^3) then a := a+1 ; end if; end if; end do ; a >= 3 ; end proc: for n from 2 to 120000 do if isA171385(n) then printf("%d, ", n) ; fi; end do ; # R. J. Mathar, Dec 11 2009

CROSSREFS

Cf. A054402, integers with two or more such representations.

Sequence in context: A351310 A045035 A060948 * A031742 A353943 A351273

Adjacent sequences: A171382 A171383 A171384 * A171386 A171387 A171388

KEYWORD

easy,nonn

AUTHOR

Alan Frank, Dec 07 2009

EXTENSIONS

More terms from R. J. Mathar, Dec 11 2009

STATUS

approved

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Last modified December 10 02:09 EST 2022. Contains 358712 sequences. (Running on oeis4.)