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A099960 First column (also row sums) of triangle in A099959. 2
1, 1, 1, 1, 2, 3, 8, 17, 56, 155, 608, 2073, 9440, 38227, 198272, 929569, 5410688, 28820619, 186043904, 1109652905, 7867739648, 51943281731, 401293838336, 2905151042481, 24290513745920, 191329672483963, 1721379917619200 (list; graph; refs; listen; history; internal format)
OFFSET

0,5

FORMULA

An interleaving of the Genocchi numbers of the first and second kind, A001469 and A005439.

MAPLE

with(linalg):rev:=proc(a) local n, p; n:=vectdim(a): p:=i->a[n+1-i]: vector(n, p) end: ps:=proc(a) local n, q; n:=vectdim(a): q:=i->sum(a[j], j=1..i): vector(n, q) end: pss:=proc(a) local n, q; n:=vectdim(a): q:=proc(i) if i<=n then sum(a[j], j=1..i) else sum(a[j], j=1..n) fi end: vector(n+1, q) end: R[0]:=vector(1, 1): for n from 1 to 30 do if n mod 2 = 1 then R[n]:=ps(rev(R[n-1])) else R[n]:=pss(rev(R[n-1])) fi od: seq(R[n][1], n=0..30); (Deutsch)

CROSSREFS

Cf. A099959, A001469, A005439.

Sequence in context: A148035 A148036 A148037 * A101182 A009207 A096254

Adjacent sequences:  A099957 A099958 A099959 * A099961 A099962 A099963

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Nov 13 2004, following a suggestion made by Douglas G. Rogers, Mar 10, 2003

EXTENSIONS

More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Nov 16 2004

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Last modified February 14 00:47 EST 2012. Contains 205567 sequences.