A100703 (T(n-1) + T(n-2)) + T(n-1)*T(n-2) where T(0)=3, T(1)=5 and n >= 2.

3, 5, 23, 143, 3455, 497663, 1719926783, 855945643032575, 1472163837099830446915583, 1260092222195718836233500990239234064383, 1855062200927301576619335433612526767115692635401046316868960255

Offset

0,1

Links

Table of n, a(n) for n=0..10.

Formula

a(n) = (a(n-1) + a(n-2)) + a(n-1)*a(n-2) with a(0)=3 and a(1)=5

Example

(3 + 5) + 3*5 = 23

Mathematica

RecurrenceTable[{a[0]==3, a[1]==5, a[n]==a[n-1]+a[n-2]+a[n-1]a[n-2]}, a, {n, 10}] (* Harvey P. Dale, Sep 15 2014 *)

Crossrefs

Similar to A063896 but with initial terms 3 and 5.

Sequence in context: A209028 A178068 A018978 * A352691 A137086 A137087

Adjacent sequences: A100700 A100701 A100702 * A100704 A100705 A100706

Keyword

nonn

Author

Parthasarathy Nambi, Dec 09 2004

Extensions

More terms from Harvey P. Dale, Sep 15 2014

Status

approved