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A028884 a(n) = (n+3)^2 - 8. +0
1
1, 8, 17, 28, 41, 56, 73, 92, 113, 136, 161, 188, 217, 248, 281, 316, 353, 392, 433, 476, 521, 568, 617, 668, 721, 776, 833, 892, 953, 1016, 1081, 1148, 1217, 1288, 1361, 1436, 1513, 1592, 1673, 1756, 1841, 1928, 2017, 2108, 2201, 2296, 2393 (list; graph; listen)
OFFSET

0,2

LINKS

P. De Geest, Palindromic Quasipronics of the form n(n+x)

FORMULA

a(n)=2*n+a(n-1)+3 (with a(1)=1) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 07 2009]

EXAMPLE

For n=2, a(2)=2+2+1+3=8; n=3, a(3)=2*3+8+3=17; n=4, a(4)=2*4+17+3=28 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 07 2009]

MATHEMATICA

q=8; s=0; lst={}; Do[s+=n; If[(s-q)>0, AppendTo[lst, s-q]], {n, 1, 6!, 2}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), May 25 2009]

s = 1; lst = {s}; Do[s += n; AppendTo[lst, s], {n, 7, 105, 2}]; lst [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 12 2009]

PROGRAM

(Other) SAGE:[lucas_number2(2, n, 4) for n in xrange(3, 50)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 12 2009]

CROSSREFS

Sequence in context: A052222 A044441 A056121 this_sequence A099358 A077222 A077221

Adjacent sequences: A028881 A028882 A028883 this_sequence A028885 A028886 A028887

KEYWORD

nonn,new

AUTHOR

Patrick De Geest (pdg(AT)worldofnumbers.com)

EXTENSIONS

Definition corrected by Omar E. Pol (info(AT)polprimos.com), Jul 27 2009

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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