|
Search: id:A071253
|
|
| |
|
| 0, 2, 20, 90, 272, 650, 1332, 2450, 4160, 6642, 10100, 14762, 20880, 28730, 38612, 50850, 65792, 83810, 105300, 130682, 160400, 194922, 234740, 280370, 332352, 391250, 457652, 532170, 615440, 708122, 810900, 924482, 1049600, 1187010, 1337492, 1501850, 1680912
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
a(n)= A002522(n)*A000290(n) - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 20 2008
If a(n)=X [A155977], Y=b(n) [A071253], Z=c(n) [A034262], then X^2 + Y^2 = n*Z^3, (for all n of a(n), b(n),c(n)); Example: If n=3, a(3)=270, b(3)=90, c(3)=30, then 270^2+90^2=3*30^3; [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 01 2009]
|
|
REFERENCES
|
T. A. Gulliver, Sequences from Arrays of Integers, Int. Math. Journal, Vol. 1, No. 4, pp. 323-332, 2002.
|
|
MAPLE
|
with(combinat):seq(lcm(fibonacci(3, n), n^2), n=0..35); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 20 2008
a:=n->add(n+add(n+add(n, j=1..n-1), j=1..n), j=1..n):seq(a(n), n=0..21); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 27 2008]
|
|
CROSSREFS
|
Cf. A069187.
Cf. A034262, A155977 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 01 2009]
Sequence in context: A161007 A098077 A063663 this_sequence A069187 A033840 A086755
Adjacent sequences: A071250 A071251 A071252 this_sequence A071254 A071255 A071256
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Jun 12 2002
|
|
|
Search completed in 0.002 seconds
|
