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A123053 Sum of a positive square, a positive cube and a positive fourth power. 2
3, 6, 10, 11, 13, 18, 21, 25, 26, 27, 28, 29, 32, 33, 34, 37, 38, 40, 42, 44, 45, 47, 49, 51, 52, 53, 58, 59, 60, 64, 66, 68, 69, 73, 74, 77, 79, 81, 83, 84, 86, 88, 89, 90, 91, 92, 93, 96, 98, 101, 102, 105, 107, 109, 112, 114, 116, 117, 118, 123, 124, 125 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Giovanni Resta, Table of n, a(n) for n = 1..10000

FORMULA

{A000290 \ 0} + {A000578 \ 0} + {A000583}. {a^4 + b^3 + c^2 for a,b,c>0}.

EXAMPLE

a(1) = 3 = 1^4 + 1^3 + 1^2.

a(2) = 6 = 1^4 + 1^3 + 2^2.

a(3) = 10 = 1^4 + 2^3 + 1^2.

a(4) = 11 = 1^4 + 1^3 + 3^2.

a(5) = 13 = 1^4 + 2^3 + 2^2.

a(6) = 18 = 1^4 + 1^3 + 4^2 = 1^4 + 2^3 + 3^2 = 2^4 + 1^3 + 1^2.

MATHEMATICA

Select[ Union[ Total /@ Tuples[{Range[64]^2, Range[8]^4, Range[16]^3}]], # < 200 &] (* Giovanni Resta, Jun 12 2016 *)

CROSSREFS

Cf. A000290 (squares), A000578 (cubes), A000583 (4th powers), A055394 (numbers that are the sum of a positive square and a positive cube).

Sequence in context: A043321 A241858 A231668 * A221129 A138289 A219638

Adjacent sequences:  A123050 A123051 A123052 * A123054 A123055 A123056

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post, Sep 25 2006

EXTENSIONS

38, 86, and 93 added and 108 deleted by Giovanni Resta, Jun 12 2016

STATUS

approved

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Last modified June 16 04:54 EDT 2019. Contains 324145 sequences. (Running on oeis4.)