This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A003387 #28 Oct 29 2023 21:49:42 %S A003387 9,264,519,774,1029,1284,1539,1794,2049,2304,6569,6824,7079,7334,7589, %T A003387 7844,8099,8354,8609,13129,13384,13639,13894,14149,14404,14659,14914, %U A003387 19689,19944,20199,20454,20709,20964,21219,26249,26504,26759,27014,27269 %N A003387 Numbers that are the sum of 9 nonzero 8th powers. %C A003387 As the order of addition doesn't matter we can assume terms are in nondecreasing order. - _David A. Corneth_, Aug 01 2020 %H A003387 David A. Corneth, <a href="/A003387/b003387.txt">Table of n, a(n) for n = 1..10000</a> (first 3854 terms from R. J. Mathar, replacing an earlier file that was missing terms) %e A003387 From _David A. Corneth_, Aug 01 2020: (Start) %e A003387 5820102 is in the sequence as 5820102 = 1^8 + 1^8 + 1^8 + 1^8 + 5^8 + 5^8 + 6^8 + 6^8 + 6^8. %e A003387 9960580 is in the sequence as 9960580 = 5^8 + 5^8 + 5^8 + 5^8 + 6^8 + 6^8 + 6^8 + 6^8 + 6^8. %e A003387 11260068 is in the sequence as 11260068 = 1^8 + 1^8 + 2^8 + 4^8 + 5^8 + 6^8 + 6^8 + 6^8 + 7^8. (End) %p A003387 A003387 := proc(nmax::integer) %p A003387 local a, x,x8,y,y8,z,z8,u,u8,v,v8,w,w8,t,t8,s,s8,r,r8 ; %p A003387 a := {} ; %p A003387 for x from 1 do %p A003387 x8 := x^8 ; %p A003387 if 9*x8 > nmax then %p A003387 break; %p A003387 end if; %p A003387 for y from x do %p A003387 y8 := y^8 ; %p A003387 if x8+8*y8 > nmax then %p A003387 break; %p A003387 end if; %p A003387 for z from y do %p A003387 z8 := z^8 ; %p A003387 if x8+y8+7*z8 > nmax then %p A003387 break; %p A003387 end if; %p A003387 for u from z do %p A003387 u8 := u^8 ; %p A003387 if x8+y8+z8+6*u8 > nmax then %p A003387 break; %p A003387 end if; %p A003387 for v from u do %p A003387 v8 := v^8 ; %p A003387 if x8+y8+z8+u8+5*v8 > nmax then %p A003387 break; %p A003387 end if; %p A003387 for w from v do %p A003387 w8 := w^8 ; %p A003387 if x8+y8+z8+u8+v8+4*w8 > nmax then %p A003387 break; %p A003387 end if; %p A003387 for t from w do %p A003387 t8 := t^8 ; %p A003387 if x8+y8+z8+u8+v8+w8+3*t8 > nmax then %p A003387 break; %p A003387 end if; %p A003387 for s from t do %p A003387 s8 := s^8 ; %p A003387 if x8+y8+z8+u8+v8+w8+t8+2*s8 > nmax then %p A003387 break; %p A003387 end if; %p A003387 for r from s do %p A003387 r8 := r^8 ; %p A003387 if x8+y8+z8+u8+v8+w8+t8+s8+r8 > nmax then %p A003387 break ; %p A003387 end if; %p A003387 if x8+y8+z8+u8+v8+w8+t8+s8+r8 <= nmax then %p A003387 a := a union {x8+y8+z8+u8+v8+w8+t8+s8+r8} ; %p A003387 end if; %p A003387 end do: %p A003387 end do: %p A003387 end do: %p A003387 end do: %p A003387 end do: %p A003387 end do: %p A003387 end do: %p A003387 end do: %p A003387 end do: %p A003387 sort(convert(a,list)) ; %p A003387 end proc: %p A003387 nmax := 15116544 ; %p A003387 L:= A003387(nmax) ; %p A003387 LISTTOBFILE(L,"b003387.txt",1) ; # _R. J. Mathar_, Aug 01 2020 %t A003387 M = 45711012; m = M^(1/8) // Ceiling; Reap[ %t A003387 For[a = 1, a <= m, a++, For[b = a, b <= m, b++, For[c = b, c <= m, c++, %t A003387 For[d = c, d <= m, d++, For[e = d, e <= m, e++, For[f = e, f <= m, f++, %t A003387 For[g = f, g <= m, g++, For[h = g, h <= m, h++, For[i = h, i <= m, i++, %t A003387 s = a^8 + b^8 + c^8 + d^8 + e^8 + f^8 + g^8 + h^8 + i^8; %t A003387 If[s <= M, Sow[s]]]]]]]]]]]][[2, 1]] // Union (* _Jean-François Alcover_, Dec 01 2020 *) %Y A003387 A###### (x, y): Numbers that are the form of x nonzero y-th powers. %Y A003387 Cf. A000404 (2, 2), A000408 (3, 2), A000414 (4, 2), A003072 (3, 3), A003325 (3, 2), A003327 (4, 3), A003328 (5, 3), A003329 (6, 3), A003330 (7, 3), A003331 (8, 3), A003332 (9, 3), A003333 (10, 3), A003334 (11, 3), A003335 (12, 3), A003336 (2, 4), A003337 (3, 4), A003338 (4, 4), A003339 (5, 4), A003340 (6, 4), A003341 (7, 4), A003342 (8, 4), A003343 (9, 4), A003344 (10, 4), A003345 (11, 4), A003346 (12, 4), A003347 (2, 5), A003348 (3, 5), A003349 (4, 5), A003350 (5, 5), A003351 (6, 5), A003352 (7, 5), A003353 (8, 5), A003354 (9, 5), A003355 (10, 5), A003356 (11, 5), A003357 (12, 5), A003358 (2, 6), A003359 (3, 6), A003360 (4, 6), A003361 (5, 6), A003362 (6, 6), A003363 (7, 6), A003364 (8, 6), A003365 (9, 6), A003366 (10, 6), A003367 (11, 6), A003368 (12, 6), A003369 (2, 7), A003370 (3, 7), A003371 (4, 7), A003372 (5, 7), A003373 (6, 7), A003374 (7, 7), A003375 (8, 7), A003376 (9, 7), A003377 (10, 7), A003378 (11, 7), A003379 (12, 7), A003380 (2, 8), A003381 (3, 8), A003382 (4, 8), A003383 (5, 8), A003384 (6, 8), A003385 (7, 8), A003387 (9, 8), A003388 (10, 8), A003389 (11, 8), A003390 (12, 8), A003391 (2, 9), A003392 (3, 9), A003393 (4, 9), A003394 (5, 9), A003395 (6, 9), A003396 (7, 9), A003397 (8, 9), A003398 (9, 9), A003399 (10, 9), A004800 (11, 9), A004801 (12, 9), A004802 (2, 10), A004803 (3, 10), A004804 (4, 10), A004805 (5, 10), A004806 (6, 10), A004807 (7, 10), A004808 (8, 10), A004809 (9, 10), A004810 (10, 10), A004811 (11, 10), A004812 (12, 10), A004813 (2, 11), A004814 (3, 11), A004815 (4, 11), A004816 (5, 11), A004817 (6, 11), A004818 (7, 11), A004819 (8, 11), A004820 (9, 11), A004821 (10, 11), A004822 (11, 11), A004823 (12, 11), A047700 (5, 2). %K A003387 nonn,easy %O A003387 1,1 %A A003387 _N. J. A. Sloane_ %E A003387 Incorrect program removed by _David A. Corneth_, Aug 01 2020