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Search: id:A027575
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| A027575 |
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n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2. |
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+0
2
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| 14, 30, 54, 86, 126, 174, 230, 294, 366, 446, 534, 630, 734, 846, 966, 1094, 1230, 1374, 1526, 1686, 1854, 2030, 2214, 2406, 2606, 2814, 3030, 3254, 3486, 3726, 3974, 4230, 4494, 4766, 5046, 5334, 5630, 5934, 6246, 6566, 6894, 7230, 7574
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Summation of n^2 taken 4 at a time. [From Al Hakanson (hawkuu(AT)gmail.com), May 20 2009]
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LINKS
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P. De Geest, Palindromic Sums of Squares of Consecutive Integers
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FORMULA
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4*n^2+20*n+30. Offset 0. a(3)=126. [From Al Hakanson (hawkuu(AT)gmail.com), May 20 2009]
a(n)=8*n+a(n-1), (with a(1)=14) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 24 2009]
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EXAMPLE
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For n=2, a(2)=8*2+14=30; n=3, a(3)=8*3+30=54; n=4, a(4)=8*4+54=86 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 24 2009]
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PROGRAM
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sage: [i^2+(i+1)^2+(i+2)^2+(i+3)^2 for i in xrange(0, 50)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 03 2008
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CROSSREFS
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Adjacent sequences: A027572 A027573 A027574 this_sequence A027576 A027577 A027578
Sequence in context: A132759 A011257 A083540 this_sequence A104776 A101960 A075208
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KEYWORD
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nonn,new
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AUTHOR
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Patrick De Geest (pdg(AT)worldofnumbers.com)
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