To: CPhill, heureka and others.......

Please give the next 5 terms of this sequence and explain your conclusions:

1, 4, 6, 9, 12, 16, 21, 28, 38, 53....... Thanks to all and have fun.

$\small{ \begin{array}{|l|r|r|r|r|r|r|r|r|r|r|r|r|r|r|r|} \hline &1&4&6&9&12&16&21&28&38&53&{\color{grey}76}&{\color{grey}112}&{\color{grey}169}&{\color{grey}260}&{\color{grey}406} \\ \hline \text{Fibonacci numbers}&0&1&1&2&3&5&8&13&21&34&55&89&144&233&377 \\ \hline \text{odd numbering}&1&3&5&7&9&11&13&15&17&19&21&23&25&27&29\\ \hline \text{add }& \\ \hline \end{array} }$