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A178167 Binomial transform of odd primes. 2
3, 8, 20, 50, 122, 290, 674, 1538, 3462, 7720, 17104, 37708, 82768, 180880, 393488, 851914, 1835470, 3935808, 8402158, 17865738, 37858268, 79991512, 168605710, 354649382, 744605426, 1560666296, 3265699888, 6822355756, 14229565634 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

03 05 07 11 13 08 12 18 24 20 30 42 50 72 122

LINKS

Table of n, a(n) for n=1..29.

MATHEMATICA

q=33; lst=Prime[Range[2, q]]; lst1={First[lst]}; Do[lst=Table[Abs[lst[[n]]+lst[[n+1]]], {n, 1, Length[lst]-1}]; AppendTo[lst1, First[lst]], {k, q-2}]; lst1

Differences[Table[Sum[Binomial[n-1, k-1]*Prime[k], {k, 1, n}], {n, 1, 30}]] (* Vaclav Kotesovec, Dec 19 2020 *)

CROSSREFS

First differences of A007443.

Sequence in context: A027219 A085831 A332846 * A078053 A122595 A026582

Adjacent sequences:  A178164 A178165 A178166 * A178168 A178169 A178170

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, May 21 2010

STATUS

approved

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Last modified June 12 09:24 EDT 2021. Contains 344946 sequences. (Running on oeis4.)