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A027575
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n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2.
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5
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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; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Summation of n^2 taken 4 at a time. [From Al Hakanson (hawkuu(AT)gmail.com), May 20 2009]
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LINKS
| P. De Geest, Palindromic Sums of Squares of Consecutive Integers
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FORMULA
| 4*n^2+20*n+30. Offset 0. a(3)=126. [From Al Hakanson (hawkuu(AT)gmail.com), May 20 2009]
a(n)=a(n-1)+8*(n+1), (with a(0)=14) [From Vincenzo Librandi, Nov 19 2010]
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MATHEMATICA
| f[n_]:=(n^2+(n+2)^2+(n+4)^2+(n+6)^2)/4; Table[f[n], {n, 0, 6!, 2}] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Mar 03 2010]
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PROG
| 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
| Sequence in context: A132759 A011257 A083540 * A104776 A101960 A075208
Adjacent sequences: A027572 A027573 A027574 * A027576 A027577 A027578
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KEYWORD
| nonn
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AUTHOR
| Patrick De Geest (pdg(AT)worldofnumbers.com)
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