A235539 Table with A235538 as first row, and k-th difference of A235538 as (k+1)-th row, read by antidiagonals.

1, 3, 2, 9, 6, 4, 26, 17, 11, 7, 5, -21, -38, -49, -56, 13, 8, 29, 67, 116, 172, 31, 18, 10, -19, -86, -202, -374, 15, -16, -34, -44, -25, 61, 263, 637, 27, 12, 28, 62, 106, 131, 70, -193, -830, 81, 54, 42, 14, -48, -154, -285, -355, -162, 668, 22, -59, -113

Offset

1,2

Comments

All terms are distinct in absolute value.

Links

Paul Tek, Table of n, a(n) for n = 1..5050

Paul Tek, PERL program for this sequence

Formula

T(1,n) = A235538(k) for any k>0.

T(n+1,k) = T(n,k+1) - T(n,k) for any n>0 and k>0.

Example

The table begins:
+---+---+---+---+---+
| 1 | 3 | 9 | 26| 5 | ...
+-+-+-+-+-+-+-+-+-+-+
  | 2 | 6 | 17|-21| ...
  +-+-+-+-+-+-+-+-+
    | 4 | 11|-38| ...
    +-+-+-+-+-+-+
      | 7 |-49| ...
      +-+-+-+-+
        |-56| ...
        +---+

Prog

(Perl) See Link section.

Crossrefs

Cf. A235538.

Sequence in context: A164279 A289053 A191539 * A191449 A175840 A125152

Adjacent sequences: A235536 A235537 A235538 * A235540 A235541 A235542

Keyword

sign,tabl

Author

Paul Tek, Jan 12 2014

Status

approved