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Search: id:A048492
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| A048492 |
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a(n)= ( 8*(2^n) -n^2 -3*n -6 )/2. |
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+0
3
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| 1, 3, 8, 20, 47, 105, 226, 474, 977, 1991, 4028, 8112, 16291, 32661, 65414, 130934, 261989, 524115, 1048384, 2096940, 4194071, 8388353, 16776938, 33554130, 67108537, 134217375, 268435076, 536870504, 1073741387, 2147483181
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Partial sums of A000325, starting at n=1. [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Oct 13 2008]
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FORMULA
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a(0) = 1; a(n) = a(n-1) + 2^(n+1) - (n+1) for n > 0. [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Oct 13 2008]
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MATHEMATICA
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lst={}; s=0; Do[s+=2^n-n; AppendTo[lst, s], {n, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 30 2008]
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PROGRAM
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(ARIBAS) a:=0; for n:=1 to 30 do a:=a+2**n-n; write(a, ", "); end; [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Oct 13 2008]
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CROSSREFS
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a(n)=T(0, n)+T(1, n-1)+...+T(n, 0), array T given by A048483.
Cf. A000325 (2^n - n), A145070. [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Oct 13 2008]
Sequence in context: A036676 A101533 A138803 this_sequence A006776 A050231 A136305
Adjacent sequences: A048489 A048490 A048491 this_sequence A048493 A048494 A048495
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
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Better description from Frank Ellermann, Mar 16, 2002
Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 08 2006
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