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A212092 Number of (w,x,y,z) with all terms in {1,...,n} and w^2<x^2+y^2+z^2. 3
0, 1, 15, 73, 231, 562, 1155, 2133, 3632, 5801, 8830, 12907, 18264, 25131, 33766, 44461, 57524, 73274, 92043, 114213, 140173, 170289, 205057, 244884, 290251, 341658, 399594, 464582, 537200, 618046, 707665, 806727, 915828, 1035607 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(n)+A212095(n)=n^4.

For a guide to related sequences, see A211795.

LINKS

Table of n, a(n) for n=0..33.

MATHEMATICA

t = Compile[{{n, _Integer}}, Module[{s = 0},

(Do[If[w^2 < x^2 + y^2 + z^2, s = s + 1],

{w, 1, #}, {x, 1, #}, {y, 1, #}, {z, 1, #}] &[n]; s)]];

Map[t[#] &, Range[0, 50]] (* A212092 *)

(* Peter J. C. Moses, Apr 13 2012 *)

CROSSREFS

Cf. A211795.

Sequence in context: A000476 A002603 A212562 * A022817 A171341 A080841

Adjacent sequences:  A212089 A212090 A212091 * A212093 A212094 A212095

KEYWORD

nonn

AUTHOR

Clark Kimberling, May 02 2012

STATUS

approved

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Last modified August 8 14:04 EDT 2020. Contains 336298 sequences. (Running on oeis4.)