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A097810 7*2^n-3n-6. +0
2
1, 5, 16, 41, 94, 203, 424, 869, 1762, 3551, 7132, 14297, 28630, 57299, 114640, 229325, 458698, 917447, 1834948, 3669953, 7339966, 14679995, 29360056, 58720181, 117440434, 234880943, 469761964, 939524009, 1879048102, 3758096291 (list; graph; listen)
OFFSET

0,2

FORMULA

G.f. : (1+x+x^2)/(((1-x)^2(1-2x)); a(n)=2a(n-1)+3n, n>0, a(0)=1; a(n)=4a(n-1)-5a(n-2)+2a(n-3).

MATHEMATICA

s=1; lst={s}; Do[s+=(s+=n)+n++; AppendTo[lst, s], {n, 1, 5!, 1}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 15 2008]

CROSSREFS

Cf. A079583, A097809.

Sequence in context: A014166 A014171 A014175 this_sequence A055796 A002662 A143962

Adjacent sequences: A097807 A097808 A097809 this_sequence A097811 A097812 A097813

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Aug 25 2004

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Last modified December 13 23:45 EST 2009. Contains 170824 sequences.


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